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Finding the Fourth Proportional to 25,776.66, 38,670.52 and 8,006.96

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Solution

The fourth proportional to 25,776.66, 38,670.52 and 8,006.96 is: 12,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776.66 : 38,670.52 = 8,006.96 : x
  2. Step 2: Convert to fraction form
    25,776.66/38,670.52 = 8,006.96/x
  3. Step 3: Cross multiply
    25,776.66x = 38,670.52 × 8,006.96
  4. Step 4: Simplify right side
    25,776.66x = 309,633,306.82
  5. Step 5: Solve for x
    x = 309,633,306.82/25,776.66
  6. Step 6: Final answer
    x = 12,012.16

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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.