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Finding the Fourth Proportional to 23,541.78, 32,487.65 and 12,931.41

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Solution

The fourth proportional to 23,541.78, 32,487.65 and 12,931.41 is: 17,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541.78 : 32,487.65 = 12,931.41 : x
  2. Step 2: Convert to fraction form
    23,541.78/32,487.65 = 12,931.41/x
  3. Step 3: Cross multiply
    23,541.78x = 32,487.65 × 12,931.41
  4. Step 4: Simplify right side
    23,541.78x = 420,111,227.75
  5. Step 5: Solve for x
    x = 420,111,227.75/23,541.78
  6. Step 6: Final answer
    x = 17,845.34

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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.