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Finding the Fourth Proportional to 13,115.48, 19,673.70 and 5,709.80

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Solution

The fourth proportional to 13,115.48, 19,673.70 and 5,709.80 is: 8,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.48 : 19,673.70 = 5,709.80 : x
  2. Step 2: Convert to fraction form
    13,115.48/19,673.70 = 5,709.80/x
  3. Step 3: Cross multiply
    13,115.48x = 19,673.70 × 5,709.80
  4. Step 4: Simplify right side
    13,115.48x = 112,332,892.26
  5. Step 5: Solve for x
    x = 112,332,892.26/13,115.48
  6. Step 6: Final answer
    x = 8,564.91

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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.