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Finding the Fourth Proportional to 24,641.52, 34,005.25 and 13,311

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Solution

The fourth proportional to 24,641.52, 34,005.25 and 13,311 is: 18,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.52 : 34,005.25 = 13,311 : x
  2. Step 2: Convert to fraction form
    24,641.52/34,005.25 = 13,311/x
  3. Step 3: Cross multiply
    24,641.52x = 34,005.25 × 13,311
  4. Step 4: Simplify right side
    24,641.52x = 452,643,899.39
  5. Step 5: Solve for x
    x = 452,643,899.39/24,641.52
  6. Step 6: Final answer
    x = 18,369.16

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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.