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Finding the Fourth Proportional to 15,277.68, 22,900.32 and 9,713.52

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Solution

The fourth proportional to 15,277.68, 22,900.32 and 9,713.52 is: 14,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.68 : 22,900.32 = 9,713.52 : x
  2. Step 2: Convert to fraction form
    15,277.68/22,900.32 = 9,713.52/x
  3. Step 3: Cross multiply
    15,277.68x = 22,900.32 × 9,713.52
  4. Step 4: Simplify right side
    15,277.68x = 222,442,716.33
  5. Step 5: Solve for x
    x = 222,442,716.33/15,277.68
  6. Step 6: Final answer
    x = 14,559.98

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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.