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Finding the Fourth Proportional to 20,216.78, 30,312.02 and 9,686.52

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Solution

The fourth proportional to 20,216.78, 30,312.02 and 9,686.52 is: 14,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.78 : 30,312.02 = 9,686.52 : x
  2. Step 2: Convert to fraction form
    20,216.78/30,312.02 = 9,686.52/x
  3. Step 3: Cross multiply
    20,216.78x = 30,312.02 × 9,686.52
  4. Step 4: Simplify right side
    20,216.78x = 293,617,987.97
  5. Step 5: Solve for x
    x = 293,617,987.97/20,216.78
  6. Step 6: Final answer
    x = 14,523.48

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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.