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Finding the Fourth Proportional to 23,531.72, 35,289.74 and 9,488.12

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Solution

The fourth proportional to 23,531.72, 35,289.74 and 9,488.12 is: 14,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.72 : 35,289.74 = 9,488.12 : x
  2. Step 2: Convert to fraction form
    23,531.72/35,289.74 = 9,488.12/x
  3. Step 3: Cross multiply
    23,531.72x = 35,289.74 × 9,488.12
  4. Step 4: Simplify right side
    23,531.72x = 334,833,135.16
  5. Step 5: Solve for x
    x = 334,833,135.16/23,531.72
  6. Step 6: Final answer
    x = 14,229.02

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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.