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Finding the Fourth Proportional to 10,336.80, 15,505.20 and 9,688.80

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Solution

The fourth proportional to 10,336.80, 15,505.20 and 9,688.80 is: 14,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.80 : 15,505.20 = 9,688.80 : x
  2. Step 2: Convert to fraction form
    10,336.80/15,505.20 = 9,688.80/x
  3. Step 3: Cross multiply
    10,336.80x = 15,505.20 × 9,688.80
  4. Step 4: Simplify right side
    10,336.80x = 150,226,781.76
  5. Step 5: Solve for x
    x = 150,226,781.76/10,336.80
  6. Step 6: Final answer
    x = 14,533.20

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