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Finding the Fourth Proportional to 24,098.32, 33,257.52 and 13,489.84

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Solution

The fourth proportional to 24,098.32, 33,257.52 and 13,489.84 is: 18,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.32 : 33,257.52 = 13,489.84 : x
  2. Step 2: Convert to fraction form
    24,098.32/33,257.52 = 13,489.84/x
  3. Step 3: Cross multiply
    24,098.32x = 33,257.52 × 13,489.84
  4. Step 4: Simplify right side
    24,098.32x = 448,638,623.60
  5. Step 5: Solve for x
    x = 448,638,623.60/24,098.32
  6. Step 6: Final answer
    x = 18,617.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.