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Finding the Fourth Proportional to 23,901.95, 32,985.49 and 13,147.28

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Solution

The fourth proportional to 23,901.95, 32,985.49 and 13,147.28 is: 18,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.95 : 32,985.49 = 13,147.28 : x
  2. Step 2: Convert to fraction form
    23,901.95/32,985.49 = 13,147.28/x
  3. Step 3: Cross multiply
    23,901.95x = 32,985.49 × 13,147.28
  4. Step 4: Simplify right side
    23,901.95x = 433,669,308.04
  5. Step 5: Solve for x
    x = 433,669,308.04/23,901.95
  6. Step 6: Final answer
    x = 18,143.68

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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.