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Finding the Fourth Proportional to 12,569.52, 17,341.68 and 7,188.12

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Solution

The fourth proportional to 12,569.52, 17,341.68 and 7,188.12 is: 9,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.52 : 17,341.68 = 7,188.12 : x
  2. Step 2: Convert to fraction form
    12,569.52/17,341.68 = 7,188.12/x
  3. Step 3: Cross multiply
    12,569.52x = 17,341.68 × 7,188.12
  4. Step 4: Simplify right side
    12,569.52x = 124,654,076.84
  5. Step 5: Solve for x
    x = 124,654,076.84/12,569.52
  6. Step 6: Final answer
    x = 9,917.17

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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.