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Finding the Fourth Proportional to 23,727, 32,742.72 and 13,116.72

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Solution

The fourth proportional to 23,727, 32,742.72 and 13,116.72 is: 18,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,727 : 32,742.72 = 13,116.72 : x
  2. Step 2: Convert to fraction form
    23,727/32,742.72 = 13,116.72/x
  3. Step 3: Cross multiply
    23,727x = 32,742.72 × 13,116.72
  4. Step 4: Simplify right side
    23,727x = 429,477,090.28
  5. Step 5: Solve for x
    x = 429,477,090.28/23,727
  6. Step 6: Final answer
    x = 18,100.78

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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.