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Finding the Fourth Proportional to 24,120, 36,159.08 and 9,339.66

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Solution

The fourth proportional to 24,120, 36,159.08 and 9,339.66 is: 14,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 36,159.08 = 9,339.66 : x
  2. Step 2: Convert to fraction form
    24,120/36,159.08 = 9,339.66/x
  3. Step 3: Cross multiply
    24,120x = 36,159.08 × 9,339.66
  4. Step 4: Simplify right side
    24,120x = 337,713,466.41
  5. Step 5: Solve for x
    x = 337,713,466.41/24,120
  6. Step 6: Final answer
    x = 14,001.39

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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.