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Finding the Fourth Proportional to 22,883.76, 34,329.15 and 9,732.60

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Solution

The fourth proportional to 22,883.76, 34,329.15 and 9,732.60 is: 14,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.76 : 34,329.15 = 9,732.60 : x
  2. Step 2: Convert to fraction form
    22,883.76/34,329.15 = 9,732.60/x
  3. Step 3: Cross multiply
    22,883.76x = 34,329.15 × 9,732.60
  4. Step 4: Simplify right side
    22,883.76x = 334,111,885.29
  5. Step 5: Solve for x
    x = 334,111,885.29/22,883.76
  6. Step 6: Final answer
    x = 14,600.39

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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.