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Finding the Fourth Proportional to 13,726.98, 18,943.38 and 7,758.72

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Solution

The fourth proportional to 13,726.98, 18,943.38 and 7,758.72 is: 10,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.98 : 18,943.38 = 7,758.72 : x
  2. Step 2: Convert to fraction form
    13,726.98/18,943.38 = 7,758.72/x
  3. Step 3: Cross multiply
    13,726.98x = 18,943.38 × 7,758.72
  4. Step 4: Simplify right side
    13,726.98x = 146,976,381.27
  5. Step 5: Solve for x
    x = 146,976,381.27/13,726.98
  6. Step 6: Final answer
    x = 10,707.12

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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.