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Finding the Fourth Proportional to 14,561.85, 21,809.95 and 10,198.78

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Solution

The fourth proportional to 14,561.85, 21,809.95 and 10,198.78 is: 15,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.85 : 21,809.95 = 10,198.78 : x
  2. Step 2: Convert to fraction form
    14,561.85/21,809.95 = 10,198.78/x
  3. Step 3: Cross multiply
    14,561.85x = 21,809.95 × 10,198.78
  4. Step 4: Simplify right side
    14,561.85x = 222,434,881.86
  5. Step 5: Solve for x
    x = 222,434,881.86/14,561.85
  6. Step 6: Final answer
    x = 15,275.18

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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.