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Finding the Fourth Proportional to 20,932.34, 28,900.14 and 12,983

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Solution

The fourth proportional to 20,932.34, 28,900.14 and 12,983 is: 17,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.34 : 28,900.14 = 12,983 : x
  2. Step 2: Convert to fraction form
    20,932.34/28,900.14 = 12,983/x
  3. Step 3: Cross multiply
    20,932.34x = 28,900.14 × 12,983
  4. Step 4: Simplify right side
    20,932.34x = 375,210,517.62
  5. Step 5: Solve for x
    x = 375,210,517.62/20,932.34
  6. Step 6: Final answer
    x = 17,924.92

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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.