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Finding the Fourth Proportional to 20,700.83, 31,044.67 and 8,854.38

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Solution

The fourth proportional to 20,700.83, 31,044.67 and 8,854.38 is: 13,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.83 : 31,044.67 = 8,854.38 : x
  2. Step 2: Convert to fraction form
    20,700.83/31,044.67 = 8,854.38/x
  3. Step 3: Cross multiply
    20,700.83x = 31,044.67 × 8,854.38
  4. Step 4: Simplify right side
    20,700.83x = 274,881,283.02
  5. Step 5: Solve for x
    x = 274,881,283.02/20,700.83
  6. Step 6: Final answer
    x = 13,278.75

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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.