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Finding the Fourth Proportional to 23,771.32, 32,802 and 13,158.16

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Solution

The fourth proportional to 23,771.32, 32,802 and 13,158.16 is: 18,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.32 : 32,802 = 13,158.16 : x
  2. Step 2: Convert to fraction form
    23,771.32/32,802 = 13,158.16/x
  3. Step 3: Cross multiply
    23,771.32x = 32,802 × 13,158.16
  4. Step 4: Simplify right side
    23,771.32x = 431,613,964.32
  5. Step 5: Solve for x
    x = 431,613,964.32/23,771.32
  6. Step 6: Final answer
    x = 18,156.92

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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.