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Finding the Fourth Proportional to 16,479.86, 22,742.78 and 9,406.13

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Solution

The fourth proportional to 16,479.86, 22,742.78 and 9,406.13 is: 12,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479.86 : 22,742.78 = 9,406.13 : x
  2. Step 2: Convert to fraction form
    16,479.86/22,742.78 = 9,406.13/x
  3. Step 3: Cross multiply
    16,479.86x = 22,742.78 × 9,406.13
  4. Step 4: Simplify right side
    16,479.86x = 213,921,384.50
  5. Step 5: Solve for x
    x = 213,921,384.50/16,479.86
  6. Step 6: Final answer
    x = 12,980.78

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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.