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Finding the Fourth Proportional to 12,721.59, 17,564.55 and 9,732.22

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Solution

The fourth proportional to 12,721.59, 17,564.55 and 9,732.22 is: 13,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.59 : 17,564.55 = 9,732.22 : x
  2. Step 2: Convert to fraction form
    12,721.59/17,564.55 = 9,732.22/x
  3. Step 3: Cross multiply
    12,721.59x = 17,564.55 × 9,732.22
  4. Step 4: Simplify right side
    12,721.59x = 170,941,984.39
  5. Step 5: Solve for x
    x = 170,941,984.39/12,721.59
  6. Step 6: Final answer
    x = 13,437.16

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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.