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Finding the Fourth Proportional to 24,424.88, 36,639.99 and 7,781.00

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Solution

The fourth proportional to 24,424.88, 36,639.99 and 7,781.00 is: 11,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.88 : 36,639.99 = 7,781.00 : x
  2. Step 2: Convert to fraction form
    24,424.88/36,639.99 = 7,781.00/x
  3. Step 3: Cross multiply
    24,424.88x = 36,639.99 × 7,781.00
  4. Step 4: Simplify right side
    24,424.88x = 285,095,853.79
  5. Step 5: Solve for x
    x = 285,095,853.79/24,424.88
  6. Step 6: Final answer
    x = 11,672.35

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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.