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Finding the Fourth Proportional to 23,731.57, 32,753.53 and 16,071.40

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Solution

The fourth proportional to 23,731.57, 32,753.53 and 16,071.40 is: 22,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.57 : 32,753.53 = 16,071.40 : x
  2. Step 2: Convert to fraction form
    23,731.57/32,753.53 = 16,071.40/x
  3. Step 3: Cross multiply
    23,731.57x = 32,753.53 × 16,071.40
  4. Step 4: Simplify right side
    23,731.57x = 526,395,082.04
  5. Step 5: Solve for x
    x = 526,395,082.04/23,731.57
  6. Step 6: Final answer
    x = 22,181.22

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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.