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Finding the Fourth Proportional to 24,196, 36,216.16 and 16,361.68

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Solution

The fourth proportional to 24,196, 36,216.16 and 16,361.68 is: 24,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196 : 36,216.16 = 16,361.68 : x
  2. Step 2: Convert to fraction form
    24,196/36,216.16 = 16,361.68/x
  3. Step 3: Cross multiply
    24,196x = 36,216.16 × 16,361.68
  4. Step 4: Simplify right side
    24,196x = 592,557,220.75
  5. Step 5: Solve for x
    x = 592,557,220.75/24,196
  6. Step 6: Final answer
    x = 24,489.88

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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.