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Finding the Fourth Proportional to 16,359.60, 24,564 and 9,347.52

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Solution

The fourth proportional to 16,359.60, 24,564 and 9,347.52 is: 14,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359.60 : 24,564 = 9,347.52 : x
  2. Step 2: Convert to fraction form
    16,359.60/24,564 = 9,347.52/x
  3. Step 3: Cross multiply
    16,359.60x = 24,564 × 9,347.52
  4. Step 4: Simplify right side
    16,359.60x = 229,612,481.28
  5. Step 5: Solve for x
    x = 229,612,481.28/16,359.60
  6. Step 6: Final answer
    x = 14,035.34

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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.