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Finding the Fourth Proportional to 14,702.94, 22,046.11 and 4,839.57

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Solution

The fourth proportional to 14,702.94, 22,046.11 and 4,839.57 is: 7,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.94 : 22,046.11 = 4,839.57 : x
  2. Step 2: Convert to fraction form
    14,702.94/22,046.11 = 4,839.57/x
  3. Step 3: Cross multiply
    14,702.94x = 22,046.11 × 4,839.57
  4. Step 4: Simplify right side
    14,702.94x = 106,693,680.47
  5. Step 5: Solve for x
    x = 106,693,680.47/14,702.94
  6. Step 6: Final answer
    x = 7,256.62

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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.