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Finding the Fourth Proportional to 20,725.60, 31,095.60 and 9,042.40

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Solution

The fourth proportional to 20,725.60, 31,095.60 and 9,042.40 is: 13,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.60 : 31,095.60 = 9,042.40 : x
  2. Step 2: Convert to fraction form
    20,725.60/31,095.60 = 9,042.40/x
  3. Step 3: Cross multiply
    20,725.60x = 31,095.60 × 9,042.40
  4. Step 4: Simplify right side
    20,725.60x = 281,178,853.44
  5. Step 5: Solve for x
    x = 281,178,853.44/20,725.60
  6. Step 6: Final answer
    x = 13,566.74

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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.