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Finding the Fourth Proportional to 24,430.71, 33,715.13 and 13,675.40

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Solution

The fourth proportional to 24,430.71, 33,715.13 and 13,675.40 is: 18,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.71 : 33,715.13 = 13,675.40 : x
  2. Step 2: Convert to fraction form
    24,430.71/33,715.13 = 13,675.40/x
  3. Step 3: Cross multiply
    24,430.71x = 33,715.13 × 13,675.40
  4. Step 4: Simplify right side
    24,430.71x = 461,067,651.85
  5. Step 5: Solve for x
    x = 461,067,651.85/24,430.71
  6. Step 6: Final answer
    x = 18,872.46

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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.