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Finding the Fourth Proportional to 15,833.98, 23,743.30 and 6,470.28

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Solution

The fourth proportional to 15,833.98, 23,743.30 and 6,470.28 is: 9,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.98 : 23,743.30 = 6,470.28 : x
  2. Step 2: Convert to fraction form
    15,833.98/23,743.30 = 6,470.28/x
  3. Step 3: Cross multiply
    15,833.98x = 23,743.30 × 6,470.28
  4. Step 4: Simplify right side
    15,833.98x = 153,625,799.12
  5. Step 5: Solve for x
    x = 153,625,799.12/15,833.98
  6. Step 6: Final answer
    x = 9,702.29

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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.