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Finding the Fourth Proportional to 13,587.32, 20,367.90 and 7,427

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Solution

The fourth proportional to 13,587.32, 20,367.90 and 7,427 is: 11,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.32 : 20,367.90 = 7,427 : x
  2. Step 2: Convert to fraction form
    13,587.32/20,367.90 = 7,427/x
  3. Step 3: Cross multiply
    13,587.32x = 20,367.90 × 7,427
  4. Step 4: Simplify right side
    13,587.32x = 151,272,393.30
  5. Step 5: Solve for x
    x = 151,272,393.30/13,587.32
  6. Step 6: Final answer
    x = 11,133.35

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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.