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Finding the Fourth Proportional to 12,897.29, 17,798.47 and 7,233.30

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Solution

The fourth proportional to 12,897.29, 17,798.47 and 7,233.30 is: 9,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.29 : 17,798.47 = 7,233.30 : x
  2. Step 2: Convert to fraction form
    12,897.29/17,798.47 = 7,233.30/x
  3. Step 3: Cross multiply
    12,897.29x = 17,798.47 × 7,233.30
  4. Step 4: Simplify right side
    12,897.29x = 128,741,654.97
  5. Step 5: Solve for x
    x = 128,741,654.97/12,897.29
  6. Step 6: Final answer
    x = 9,982.07

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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.