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Finding the Fourth Proportional to 24,730.24, 34,128 and 13,552

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Solution

The fourth proportional to 24,730.24, 34,128 and 13,552 is: 18,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.24 : 34,128 = 13,552 : x
  2. Step 2: Convert to fraction form
    24,730.24/34,128 = 13,552/x
  3. Step 3: Cross multiply
    24,730.24x = 34,128 × 13,552
  4. Step 4: Simplify right side
    24,730.24x = 462,502,656
  5. Step 5: Solve for x
    x = 462,502,656/24,730.24
  6. Step 6: Final answer
    x = 18,701.91

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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.