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Finding the Fourth Proportional to 16,352.60, 22,565.90 and 9,278.86

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Solution

The fourth proportional to 16,352.60, 22,565.90 and 9,278.86 is: 12,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.60 : 22,565.90 = 9,278.86 : x
  2. Step 2: Convert to fraction form
    16,352.60/22,565.90 = 9,278.86/x
  3. Step 3: Cross multiply
    16,352.60x = 22,565.90 × 9,278.86
  4. Step 4: Simplify right side
    16,352.60x = 209,385,826.87
  5. Step 5: Solve for x
    x = 209,385,826.87/16,352.60
  6. Step 6: Final answer
    x = 12,804.44

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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.