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Finding the Fourth Proportional to 16,419.59, 22,657.40 and 9,249.30

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Solution

The fourth proportional to 16,419.59, 22,657.40 and 9,249.30 is: 12,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.59 : 22,657.40 = 9,249.30 : x
  2. Step 2: Convert to fraction form
    16,419.59/22,657.40 = 9,249.30/x
  3. Step 3: Cross multiply
    16,419.59x = 22,657.40 × 9,249.30
  4. Step 4: Simplify right side
    16,419.59x = 209,565,163.22
  5. Step 5: Solve for x
    x = 209,565,163.22/16,419.59
  6. Step 6: Final answer
    x = 12,763.12

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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.