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Finding the Fourth Proportional to 15,033.34, 22,538.62 and 9,109

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Solution

The fourth proportional to 15,033.34, 22,538.62 and 9,109 is: 13,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.34 : 22,538.62 = 9,109 : x
  2. Step 2: Convert to fraction form
    15,033.34/22,538.62 = 9,109/x
  3. Step 3: Cross multiply
    15,033.34x = 22,538.62 × 9,109
  4. Step 4: Simplify right side
    15,033.34x = 205,304,289.58
  5. Step 5: Solve for x
    x = 205,304,289.58/15,033.34
  6. Step 6: Final answer
    x = 13,656.60

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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.