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Finding the Fourth Proportional to 13,006.52, 19,512.65 and 5,109.79

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Solution

The fourth proportional to 13,006.52, 19,512.65 and 5,109.79 is: 7,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.52 : 19,512.65 = 5,109.79 : x
  2. Step 2: Convert to fraction form
    13,006.52/19,512.65 = 5,109.79/x
  3. Step 3: Cross multiply
    13,006.52x = 19,512.65 × 5,109.79
  4. Step 4: Simplify right side
    13,006.52x = 99,705,543.84
  5. Step 5: Solve for x
    x = 99,705,543.84/13,006.52
  6. Step 6: Final answer
    x = 7,665.81

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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.