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Finding the Fourth Proportional to 12,332.51, 18,498.90 and 9,864.17

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Solution

The fourth proportional to 12,332.51, 18,498.90 and 9,864.17 is: 14,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.51 : 18,498.90 = 9,864.17 : x
  2. Step 2: Convert to fraction form
    12,332.51/18,498.90 = 9,864.17/x
  3. Step 3: Cross multiply
    12,332.51x = 18,498.90 × 9,864.17
  4. Step 4: Simplify right side
    12,332.51x = 182,476,294.41
  5. Step 5: Solve for x
    x = 182,476,294.41/12,332.51
  6. Step 6: Final answer
    x = 14,796.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.