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Finding the Fourth Proportional to 25,565.32, 38,357.22 and 8,927.82

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Solution

The fourth proportional to 25,565.32, 38,357.22 and 8,927.82 is: 13,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.32 : 38,357.22 = 8,927.82 : x
  2. Step 2: Convert to fraction form
    25,565.32/38,357.22 = 8,927.82/x
  3. Step 3: Cross multiply
    25,565.32x = 38,357.22 × 8,927.82
  4. Step 4: Simplify right side
    25,565.32x = 342,446,164.07
  5. Step 5: Solve for x
    x = 342,446,164.07/25,565.32
  6. Step 6: Final answer
    x = 13,394.95

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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.