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Finding the Fourth Proportional to 12,901.47, 17,802.77 and 7,234.89

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Solution

The fourth proportional to 12,901.47, 17,802.77 and 7,234.89 is: 9,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.47 : 17,802.77 = 7,234.89 : x
  2. Step 2: Convert to fraction form
    12,901.47/17,802.77 = 7,234.89/x
  3. Step 3: Cross multiply
    12,901.47x = 17,802.77 × 7,234.89
  4. Step 4: Simplify right side
    12,901.47x = 128,801,046.47
  5. Step 5: Solve for x
    x = 128,801,046.47/12,901.47
  6. Step 6: Final answer
    x = 9,983.44

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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.