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Finding the Fourth Proportional to 24,215.19, 33,421.11 and 14,144.82

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Solution

The fourth proportional to 24,215.19, 33,421.11 and 14,144.82 is: 19,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.19 : 33,421.11 = 14,144.82 : x
  2. Step 2: Convert to fraction form
    24,215.19/33,421.11 = 14,144.82/x
  3. Step 3: Cross multiply
    24,215.19x = 33,421.11 × 14,144.82
  4. Step 4: Simplify right side
    24,215.19x = 472,735,585.15
  5. Step 5: Solve for x
    x = 472,735,585.15/24,215.19
  6. Step 6: Final answer
    x = 19,522.27

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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.