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Finding the Fourth Proportional to 22,523.60, 31,082.56 and 12,587.60

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Solution

The fourth proportional to 22,523.60, 31,082.56 and 12,587.60 is: 17,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.60 : 31,082.56 = 12,587.60 : x
  2. Step 2: Convert to fraction form
    22,523.60/31,082.56 = 12,587.60/x
  3. Step 3: Cross multiply
    22,523.60x = 31,082.56 × 12,587.60
  4. Step 4: Simplify right side
    22,523.60x = 391,254,832.26
  5. Step 5: Solve for x
    x = 391,254,832.26/22,523.60
  6. Step 6: Final answer
    x = 17,370.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.