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Finding the Fourth Proportional to 19,306.68, 26,642.70 and 10,923

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Solution

The fourth proportional to 19,306.68, 26,642.70 and 10,923 is: 15,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.68 : 26,642.70 = 10,923 : x
  2. Step 2: Convert to fraction form
    19,306.68/26,642.70 = 10,923/x
  3. Step 3: Cross multiply
    19,306.68x = 26,642.70 × 10,923
  4. Step 4: Simplify right side
    19,306.68x = 291,018,212.10
  5. Step 5: Solve for x
    x = 291,018,212.10/19,306.68
  6. Step 6: Final answer
    x = 15,073.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.