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Finding the Fourth Proportional to 24,599.90, 33,948.24 and 13,421.90

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Solution

The fourth proportional to 24,599.90, 33,948.24 and 13,421.90 is: 18,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599.90 : 33,948.24 = 13,421.90 : x
  2. Step 2: Convert to fraction form
    24,599.90/33,948.24 = 13,421.90/x
  3. Step 3: Cross multiply
    24,599.90x = 33,948.24 × 13,421.90
  4. Step 4: Simplify right side
    24,599.90x = 455,649,882.46
  5. Step 5: Solve for x
    x = 455,649,882.46/24,599.90
  6. Step 6: Final answer
    x = 18,522.43

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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.