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Finding the Fourth Proportional to 13,788.15, 19,027.65 and 7,500.52

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Solution

The fourth proportional to 13,788.15, 19,027.65 and 7,500.52 is: 10,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.15 : 19,027.65 = 7,500.52 : x
  2. Step 2: Convert to fraction form
    13,788.15/19,027.65 = 7,500.52/x
  3. Step 3: Cross multiply
    13,788.15x = 19,027.65 × 7,500.52
  4. Step 4: Simplify right side
    13,788.15x = 142,717,269.38
  5. Step 5: Solve for x
    x = 142,717,269.38/13,788.15
  6. Step 6: Final answer
    x = 10,350.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.