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Finding the Fourth Proportional to 20,514.90, 30,777.54 and 5,723.81

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Solution

The fourth proportional to 20,514.90, 30,777.54 and 5,723.81 is: 8,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.90 : 30,777.54 = 5,723.81 : x
  2. Step 2: Convert to fraction form
    20,514.90/30,777.54 = 5,723.81/x
  3. Step 3: Cross multiply
    20,514.90x = 30,777.54 × 5,723.81
  4. Step 4: Simplify right side
    20,514.90x = 176,164,868.17
  5. Step 5: Solve for x
    x = 176,164,868.17/20,514.90
  6. Step 6: Final answer
    x = 8,587.17

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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.