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Finding the Fourth Proportional to 22,281.75, 33,423.64 and 9,124.89

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Solution

The fourth proportional to 22,281.75, 33,423.64 and 9,124.89 is: 13,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.75 : 33,423.64 = 9,124.89 : x
  2. Step 2: Convert to fraction form
    22,281.75/33,423.64 = 9,124.89/x
  3. Step 3: Cross multiply
    22,281.75x = 33,423.64 × 9,124.89
  4. Step 4: Simplify right side
    22,281.75x = 304,987,038.40
  5. Step 5: Solve for x
    x = 304,987,038.40/22,281.75
  6. Step 6: Final answer
    x = 13,687.75

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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.