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Finding the Fourth Proportional to 25,293.12, 37,962.99 and 12,822

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Solution

The fourth proportional to 25,293.12, 37,962.99 and 12,822 is: 19,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293.12 : 37,962.99 = 12,822 : x
  2. Step 2: Convert to fraction form
    25,293.12/37,962.99 = 12,822/x
  3. Step 3: Cross multiply
    25,293.12x = 37,962.99 × 12,822
  4. Step 4: Simplify right side
    25,293.12x = 486,761,457.78
  5. Step 5: Solve for x
    x = 486,761,457.78/25,293.12
  6. Step 6: Final answer
    x = 19,244.82

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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.