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Finding the Fourth Proportional to 15,342.40, 23,013.60 and 9,121.60

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Solution

The fourth proportional to 15,342.40, 23,013.60 and 9,121.60 is: 13,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.40 : 23,013.60 = 9,121.60 : x
  2. Step 2: Convert to fraction form
    15,342.40/23,013.60 = 9,121.60/x
  3. Step 3: Cross multiply
    15,342.40x = 23,013.60 × 9,121.60
  4. Step 4: Simplify right side
    15,342.40x = 209,920,853.76
  5. Step 5: Solve for x
    x = 209,920,853.76/15,342.40
  6. Step 6: Final answer
    x = 13,682.40

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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.