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Finding the Fourth Proportional to 19,279.50, 26,605.76 and 10,896

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Solution

The fourth proportional to 19,279.50, 26,605.76 and 10,896 is: 15,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,279.50 : 26,605.76 = 10,896 : x
  2. Step 2: Convert to fraction form
    19,279.50/26,605.76 = 10,896/x
  3. Step 3: Cross multiply
    19,279.50x = 26,605.76 × 10,896
  4. Step 4: Simplify right side
    19,279.50x = 289,896,306.48
  5. Step 5: Solve for x
    x = 289,896,306.48/19,279.50
  6. Step 6: Final answer
    x = 15,036.51

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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.