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Finding the Fourth Proportional to 15,176.66, 20,937.75 and 9,206.15

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Solution

The fourth proportional to 15,176.66, 20,937.75 and 9,206.15 is: 12,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.66 : 20,937.75 = 9,206.15 : x
  2. Step 2: Convert to fraction form
    15,176.66/20,937.75 = 9,206.15/x
  3. Step 3: Cross multiply
    15,176.66x = 20,937.75 × 9,206.15
  4. Step 4: Simplify right side
    15,176.66x = 192,756,067.16
  5. Step 5: Solve for x
    x = 192,756,067.16/15,176.66
  6. Step 6: Final answer
    x = 12,700.82

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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.