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Finding the Fourth Proportional to 16,123.93, 22,247.17 and 9,405.74

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Solution

The fourth proportional to 16,123.93, 22,247.17 and 9,405.74 is: 12,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.93 : 22,247.17 = 9,405.74 : x
  2. Step 2: Convert to fraction form
    16,123.93/22,247.17 = 9,405.74/x
  3. Step 3: Cross multiply
    16,123.93x = 22,247.17 × 9,405.74
  4. Step 4: Simplify right side
    16,123.93x = 209,251,128.86
  5. Step 5: Solve for x
    x = 209,251,128.86/16,123.93
  6. Step 6: Final answer
    x = 12,977.68

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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.