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Finding the Fourth Proportional to 25,565.64, 38,352.12 and 8,036.86

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Solution

The fourth proportional to 25,565.64, 38,352.12 and 8,036.86 is: 12,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.64 : 38,352.12 = 8,036.86 : x
  2. Step 2: Convert to fraction form
    25,565.64/38,352.12 = 8,036.86/x
  3. Step 3: Cross multiply
    25,565.64x = 38,352.12 × 8,036.86
  4. Step 4: Simplify right side
    25,565.64x = 308,230,619.14
  5. Step 5: Solve for x
    x = 308,230,619.14/25,565.64
  6. Step 6: Final answer
    x = 12,056.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.