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Finding the Fourth Proportional to 22,364.75, 30,842.16 and 14,694.53

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Solution

The fourth proportional to 22,364.75, 30,842.16 and 14,694.53 is: 20,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.75 : 30,842.16 = 14,694.53 : x
  2. Step 2: Convert to fraction form
    22,364.75/30,842.16 = 14,694.53/x
  3. Step 3: Cross multiply
    22,364.75x = 30,842.16 × 14,694.53
  4. Step 4: Simplify right side
    22,364.75x = 453,211,045.38
  5. Step 5: Solve for x
    x = 453,211,045.38/22,364.75
  6. Step 6: Final answer
    x = 20,264.53

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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.