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Finding the Fourth Proportional to 22,870.91, 31,544.91 and 16,149.53

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Solution

The fourth proportional to 22,870.91, 31,544.91 and 16,149.53 is: 22,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.91 : 31,544.91 = 16,149.53 : x
  2. Step 2: Convert to fraction form
    22,870.91/31,544.91 = 16,149.53/x
  3. Step 3: Cross multiply
    22,870.91x = 31,544.91 × 16,149.53
  4. Step 4: Simplify right side
    22,870.91x = 509,435,549.25
  5. Step 5: Solve for x
    x = 509,435,549.25/22,870.91
  6. Step 6: Final answer
    x = 22,274.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.