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Finding the Fourth Proportional to 24,998.72, 37,505.76 and 8,584

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Solution

The fourth proportional to 24,998.72, 37,505.76 and 8,584 is: 12,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998.72 : 37,505.76 = 8,584 : x
  2. Step 2: Convert to fraction form
    24,998.72/37,505.76 = 8,584/x
  3. Step 3: Cross multiply
    24,998.72x = 37,505.76 × 8,584
  4. Step 4: Simplify right side
    24,998.72x = 321,949,443.84
  5. Step 5: Solve for x
    x = 321,949,443.84/24,998.72
  6. Step 6: Final answer
    x = 12,878.64

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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.