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Finding the Fourth Proportional to 24,684, 34,063.92 and 13,506

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Solution

The fourth proportional to 24,684, 34,063.92 and 13,506 is: 18,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684 : 34,063.92 = 13,506 : x
  2. Step 2: Convert to fraction form
    24,684/34,063.92 = 13,506/x
  3. Step 3: Cross multiply
    24,684x = 34,063.92 × 13,506
  4. Step 4: Simplify right side
    24,684x = 460,067,303.52
  5. Step 5: Solve for x
    x = 460,067,303.52/24,684
  6. Step 6: Final answer
    x = 18,638.28

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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.