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Finding the Fourth Proportional to 14,862.12, 22,265.84 and 9,314.42

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Solution

The fourth proportional to 14,862.12, 22,265.84 and 9,314.42 is: 13,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.12 : 22,265.84 = 9,314.42 : x
  2. Step 2: Convert to fraction form
    14,862.12/22,265.84 = 9,314.42/x
  3. Step 3: Cross multiply
    14,862.12x = 22,265.84 × 9,314.42
  4. Step 4: Simplify right side
    14,862.12x = 207,393,385.41
  5. Step 5: Solve for x
    x = 207,393,385.41/14,862.12
  6. Step 6: Final answer
    x = 13,954.50

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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.