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Finding the Fourth Proportional to 15,456.64, 21,329.90 and 8,742

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Solution

The fourth proportional to 15,456.64, 21,329.90 and 8,742 is: 12,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.64 : 21,329.90 = 8,742 : x
  2. Step 2: Convert to fraction form
    15,456.64/21,329.90 = 8,742/x
  3. Step 3: Cross multiply
    15,456.64x = 21,329.90 × 8,742
  4. Step 4: Simplify right side
    15,456.64x = 186,465,985.80
  5. Step 5: Solve for x
    x = 186,465,985.80/15,456.64
  6. Step 6: Final answer
    x = 12,063.81

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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.