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Finding the Fourth Proportional to 15,405.64, 23,107.92 and 5,542.72

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Solution

The fourth proportional to 15,405.64, 23,107.92 and 5,542.72 is: 8,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.64 : 23,107.92 = 5,542.72 : x
  2. Step 2: Convert to fraction form
    15,405.64/23,107.92 = 5,542.72/x
  3. Step 3: Cross multiply
    15,405.64x = 23,107.92 × 5,542.72
  4. Step 4: Simplify right side
    15,405.64x = 128,080,730.34
  5. Step 5: Solve for x
    x = 128,080,730.34/15,405.64
  6. Step 6: Final answer
    x = 8,313.89

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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.