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Finding the Fourth Proportional to 16,705.78, 24,890.46 and 16,465.20

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Solution

The fourth proportional to 16,705.78, 24,890.46 and 16,465.20 is: 24,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.78 : 24,890.46 = 16,465.20 : x
  2. Step 2: Convert to fraction form
    16,705.78/24,890.46 = 16,465.20/x
  3. Step 3: Cross multiply
    16,705.78x = 24,890.46 × 16,465.20
  4. Step 4: Simplify right side
    16,705.78x = 409,826,401.99
  5. Step 5: Solve for x
    x = 409,826,401.99/16,705.78
  6. Step 6: Final answer
    x = 24,532.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.