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Finding the Fourth Proportional to 22,462.49, 33,714.42 and 11,376.89

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Solution

The fourth proportional to 22,462.49, 33,714.42 and 11,376.89 is: 17,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.49 : 33,714.42 = 11,376.89 : x
  2. Step 2: Convert to fraction form
    22,462.49/33,714.42 = 11,376.89/x
  3. Step 3: Cross multiply
    22,462.49x = 33,714.42 × 11,376.89
  4. Step 4: Simplify right side
    22,462.49x = 383,565,289.38
  5. Step 5: Solve for x
    x = 383,565,289.38/22,462.49
  6. Step 6: Final answer
    x = 17,075.82

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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.