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Finding the Fourth Proportional to 22,854.90, 34,292.52 and 14,532.69

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Solution

The fourth proportional to 22,854.90, 34,292.52 and 14,532.69 is: 21,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.90 : 34,292.52 = 14,532.69 : x
  2. Step 2: Convert to fraction form
    22,854.90/34,292.52 = 14,532.69/x
  3. Step 3: Cross multiply
    22,854.90x = 34,292.52 × 14,532.69
  4. Step 4: Simplify right side
    22,854.90x = 498,362,562.48
  5. Step 5: Solve for x
    x = 498,362,562.48/22,854.90
  6. Step 6: Final answer
    x = 21,805.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.