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Finding the Fourth Proportional to 24,377.56, 36,547.82 and 7,728

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Solution

The fourth proportional to 24,377.56, 36,547.82 and 7,728 is: 11,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.56 : 36,547.82 = 7,728 : x
  2. Step 2: Convert to fraction form
    24,377.56/36,547.82 = 7,728/x
  3. Step 3: Cross multiply
    24,377.56x = 36,547.82 × 7,728
  4. Step 4: Simplify right side
    24,377.56x = 282,441,552.96
  5. Step 5: Solve for x
    x = 282,441,552.96/24,377.56
  6. Step 6: Final answer
    x = 11,586.13

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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.