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Finding the Fourth Proportional to 23,649.17, 32,635.23 and 13,038.53

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Solution

The fourth proportional to 23,649.17, 32,635.23 and 13,038.53 is: 17,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.17 : 32,635.23 = 13,038.53 : x
  2. Step 2: Convert to fraction form
    23,649.17/32,635.23 = 13,038.53/x
  3. Step 3: Cross multiply
    23,649.17x = 32,635.23 × 13,038.53
  4. Step 4: Simplify right side
    23,649.17x = 425,515,425.41
  5. Step 5: Solve for x
    x = 425,515,425.41/23,649.17
  6. Step 6: Final answer
    x = 17,992.83

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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.