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Finding the Fourth Proportional to 12,397.47, 17,104.03 and 8,150.81

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Solution

The fourth proportional to 12,397.47, 17,104.03 and 8,150.81 is: 11,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.47 : 17,104.03 = 8,150.81 : x
  2. Step 2: Convert to fraction form
    12,397.47/17,104.03 = 8,150.81/x
  3. Step 3: Cross multiply
    12,397.47x = 17,104.03 × 8,150.81
  4. Step 4: Simplify right side
    12,397.47x = 139,411,592.87
  5. Step 5: Solve for x
    x = 139,411,592.87/12,397.47
  6. Step 6: Final answer
    x = 11,245.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.