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Finding the Fourth Proportional to 13,189.83, 19,794.76 and 4,877.71

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Solution

The fourth proportional to 13,189.83, 19,794.76 and 4,877.71 is: 7,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.83 : 19,794.76 = 4,877.71 : x
  2. Step 2: Convert to fraction form
    13,189.83/19,794.76 = 4,877.71/x
  3. Step 3: Cross multiply
    13,189.83x = 19,794.76 × 4,877.71
  4. Step 4: Simplify right side
    13,189.83x = 96,553,098.80
  5. Step 5: Solve for x
    x = 96,553,098.80/13,189.83
  6. Step 6: Final answer
    x = 7,320.27

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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.