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Finding the Fourth Proportional to 12,887.40, 19,330.92 and 5,096.16

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Solution

The fourth proportional to 12,887.40, 19,330.92 and 5,096.16 is: 7,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.40 : 19,330.92 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    12,887.40/19,330.92 = 5,096.16/x
  3. Step 3: Cross multiply
    12,887.40x = 19,330.92 × 5,096.16
  4. Step 4: Simplify right side
    12,887.40x = 98,513,461.27
  5. Step 5: Solve for x
    x = 98,513,461.27/12,887.40
  6. Step 6: Final answer
    x = 7,644.17

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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.