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Finding the Fourth Proportional to 21,100.93, 31,642.16 and 10,010.78

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Solution

The fourth proportional to 21,100.93, 31,642.16 and 10,010.78 is: 15,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.93 : 31,642.16 = 10,010.78 : x
  2. Step 2: Convert to fraction form
    21,100.93/31,642.16 = 10,010.78/x
  3. Step 3: Cross multiply
    21,100.93x = 31,642.16 × 10,010.78
  4. Step 4: Simplify right side
    21,100.93x = 316,762,806.62
  5. Step 5: Solve for x
    x = 316,762,806.62/21,100.93
  6. Step 6: Final answer
    x = 15,011.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.