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Finding the Fourth Proportional to 23,642.97, 32,627.29 and 13,032.78

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Solution

The fourth proportional to 23,642.97, 32,627.29 and 13,032.78 is: 17,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.97 : 32,627.29 = 13,032.78 : x
  2. Step 2: Convert to fraction form
    23,642.97/32,627.29 = 13,032.78/x
  3. Step 3: Cross multiply
    23,642.97x = 32,627.29 × 13,032.78
  4. Step 4: Simplify right side
    23,642.97x = 425,224,064.27
  5. Step 5: Solve for x
    x = 425,224,064.27/23,642.97
  6. Step 6: Final answer
    x = 17,985.23

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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.