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Finding the Fourth Proportional to 23,735.78, 32,753.76 and 13,125.32

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Solution

The fourth proportional to 23,735.78, 32,753.76 and 13,125.32 is: 18,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,735.78 : 32,753.76 = 13,125.32 : x
  2. Step 2: Convert to fraction form
    23,735.78/32,753.76 = 13,125.32/x
  3. Step 3: Cross multiply
    23,735.78x = 32,753.76 × 13,125.32
  4. Step 4: Simplify right side
    23,735.78x = 429,903,581.20
  5. Step 5: Solve for x
    x = 429,903,581.20/23,735.78
  6. Step 6: Final answer
    x = 18,112.05

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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.