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Finding the Fourth Proportional to 23,731.88, 32,746.48 and 13,523

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Solution

The fourth proportional to 23,731.88, 32,746.48 and 13,523 is: 18,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.88 : 32,746.48 = 13,523 : x
  2. Step 2: Convert to fraction form
    23,731.88/32,746.48 = 13,523/x
  3. Step 3: Cross multiply
    23,731.88x = 32,746.48 × 13,523
  4. Step 4: Simplify right side
    23,731.88x = 442,830,649.04
  5. Step 5: Solve for x
    x = 442,830,649.04/23,731.88
  6. Step 6: Final answer
    x = 18,659.74

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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.