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Finding the Fourth Proportional to 16,352.08, 22,565.20 and 9,278.40

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Solution

The fourth proportional to 16,352.08, 22,565.20 and 9,278.40 is: 12,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.08 : 22,565.20 = 9,278.40 : x
  2. Step 2: Convert to fraction form
    16,352.08/22,565.20 = 9,278.40/x
  3. Step 3: Cross multiply
    16,352.08x = 22,565.20 × 9,278.40
  4. Step 4: Simplify right side
    16,352.08x = 209,368,951.68
  5. Step 5: Solve for x
    x = 209,368,951.68/16,352.08
  6. Step 6: Final answer
    x = 12,803.81

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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.