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Finding the Fourth Proportional to 16,130.34, 22,249.17 and 9,752.76

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Solution

The fourth proportional to 16,130.34, 22,249.17 and 9,752.76 is: 13,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130.34 : 22,249.17 = 9,752.76 : x
  2. Step 2: Convert to fraction form
    16,130.34/22,249.17 = 9,752.76/x
  3. Step 3: Cross multiply
    16,130.34x = 22,249.17 × 9,752.76
  4. Step 4: Simplify right side
    16,130.34x = 216,990,815.21
  5. Step 5: Solve for x
    x = 216,990,815.21/16,130.34
  6. Step 6: Final answer
    x = 13,452.34

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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.