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Finding the Fourth Proportional to 16,219.70, 24,337.65 and 9,205.10

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Solution

The fourth proportional to 16,219.70, 24,337.65 and 9,205.10 is: 13,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.70 : 24,337.65 = 9,205.10 : x
  2. Step 2: Convert to fraction form
    16,219.70/24,337.65 = 9,205.10/x
  3. Step 3: Cross multiply
    16,219.70x = 24,337.65 × 9,205.10
  4. Step 4: Simplify right side
    16,219.70x = 224,030,502.02
  5. Step 5: Solve for x
    x = 224,030,502.02/16,219.70
  6. Step 6: Final answer
    x = 13,812.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.