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Finding the Fourth Proportional to 13,775.52, 20,658.49 and 5,877.71

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Solution

The fourth proportional to 13,775.52, 20,658.49 and 5,877.71 is: 8,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.52 : 20,658.49 = 5,877.71 : x
  2. Step 2: Convert to fraction form
    13,775.52/20,658.49 = 5,877.71/x
  3. Step 3: Cross multiply
    13,775.52x = 20,658.49 × 5,877.71
  4. Step 4: Simplify right side
    13,775.52x = 121,424,722.01
  5. Step 5: Solve for x
    x = 121,424,722.01/13,775.52
  6. Step 6: Final answer
    x = 8,814.53

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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.