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Finding the Fourth Proportional to 13,281.92, 19,929.60 and 10,160

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Solution

The fourth proportional to 13,281.92, 19,929.60 and 10,160 is: 15,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.92 : 19,929.60 = 10,160 : x
  2. Step 2: Convert to fraction form
    13,281.92/19,929.60 = 10,160/x
  3. Step 3: Cross multiply
    13,281.92x = 19,929.60 × 10,160
  4. Step 4: Simplify right side
    13,281.92x = 202,484,736
  5. Step 5: Solve for x
    x = 202,484,736/13,281.92
  6. Step 6: Final answer
    x = 15,245.14

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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.