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Finding the Fourth Proportional to 16,566.40, 24,842.40 and 4,877.20

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Solution

The fourth proportional to 16,566.40, 24,842.40 and 4,877.20 is: 7,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.40 : 24,842.40 = 4,877.20 : x
  2. Step 2: Convert to fraction form
    16,566.40/24,842.40 = 4,877.20/x
  3. Step 3: Cross multiply
    16,566.40x = 24,842.40 × 4,877.20
  4. Step 4: Simplify right side
    16,566.40x = 121,161,353.28
  5. Step 5: Solve for x
    x = 121,161,353.28/16,566.40
  6. Step 6: Final answer
    x = 7,313.68

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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.