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Finding the Fourth Proportional to 14,789.42, 20,407.20 and 8,500.58

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Solution

The fourth proportional to 14,789.42, 20,407.20 and 8,500.58 is: 11,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.42 : 20,407.20 = 8,500.58 : x
  2. Step 2: Convert to fraction form
    14,789.42/20,407.20 = 8,500.58/x
  3. Step 3: Cross multiply
    14,789.42x = 20,407.20 × 8,500.58
  4. Step 4: Simplify right side
    14,789.42x = 173,473,036.18
  5. Step 5: Solve for x
    x = 173,473,036.18/14,789.42
  6. Step 6: Final answer
    x = 11,729.54

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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.