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Finding the Fourth Proportional to 13,411.69, 20,117.53 and 4,177.69

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Solution

The fourth proportional to 13,411.69, 20,117.53 and 4,177.69 is: 6,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.69 : 20,117.53 = 4,177.69 : x
  2. Step 2: Convert to fraction form
    13,411.69/20,117.53 = 4,177.69/x
  3. Step 3: Cross multiply
    13,411.69x = 20,117.53 × 4,177.69
  4. Step 4: Simplify right side
    13,411.69x = 84,044,758.83
  5. Step 5: Solve for x
    x = 84,044,758.83/13,411.69
  6. Step 6: Final answer
    x = 6,266.53

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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.