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Finding the Fourth Proportional to 16,402.70, 24,571.65 and 9,809.30

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Solution

The fourth proportional to 16,402.70, 24,571.65 and 9,809.30 is: 14,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.70 : 24,571.65 = 9,809.30 : x
  2. Step 2: Convert to fraction form
    16,402.70/24,571.65 = 9,809.30/x
  3. Step 3: Cross multiply
    16,402.70x = 24,571.65 × 9,809.30
  4. Step 4: Simplify right side
    16,402.70x = 241,030,686.35
  5. Step 5: Solve for x
    x = 241,030,686.35/16,402.70
  6. Step 6: Final answer
    x = 14,694.57

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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.