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Finding the Fourth Proportional to 13,990.26, 19,306.44 and 7,702.50

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Solution

The fourth proportional to 13,990.26, 19,306.44 and 7,702.50 is: 10,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.26 : 19,306.44 = 7,702.50 : x
  2. Step 2: Convert to fraction form
    13,990.26/19,306.44 = 7,702.50/x
  3. Step 3: Cross multiply
    13,990.26x = 19,306.44 × 7,702.50
  4. Step 4: Simplify right side
    13,990.26x = 148,707,854.10
  5. Step 5: Solve for x
    x = 148,707,854.10/13,990.26
  6. Step 6: Final answer
    x = 10,629.38

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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.