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Finding the Fourth Proportional to 16,175.76, 24,247.08 and 9,145.68

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Solution

The fourth proportional to 16,175.76, 24,247.08 and 9,145.68 is: 13,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.76 : 24,247.08 = 9,145.68 : x
  2. Step 2: Convert to fraction form
    16,175.76/24,247.08 = 9,145.68/x
  3. Step 3: Cross multiply
    16,175.76x = 24,247.08 × 9,145.68
  4. Step 4: Simplify right side
    16,175.76x = 221,756,034.61
  5. Step 5: Solve for x
    x = 221,756,034.61/16,175.76
  6. Step 6: Final answer
    x = 13,709.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.