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Finding the Fourth Proportional to 16,434.16, 22,686.64 and 10,474

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Solution

The fourth proportional to 16,434.16, 22,686.64 and 10,474 is: 14,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.16 : 22,686.64 = 10,474 : x
  2. Step 2: Convert to fraction form
    16,434.16/22,686.64 = 10,474/x
  3. Step 3: Cross multiply
    16,434.16x = 22,686.64 × 10,474
  4. Step 4: Simplify right side
    16,434.16x = 237,619,867.36
  5. Step 5: Solve for x
    x = 237,619,867.36/16,434.16
  6. Step 6: Final answer
    x = 14,458.90

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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.