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Finding the Fourth Proportional to 13,788.36, 19,027.88 and 7,500.76

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Solution

The fourth proportional to 13,788.36, 19,027.88 and 7,500.76 is: 10,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.36 : 19,027.88 = 7,500.76 : x
  2. Step 2: Convert to fraction form
    13,788.36/19,027.88 = 7,500.76/x
  3. Step 3: Cross multiply
    13,788.36x = 19,027.88 × 7,500.76
  4. Step 4: Simplify right side
    13,788.36x = 142,723,561.19
  5. Step 5: Solve for x
    x = 142,723,561.19/13,788.36
  6. Step 6: Final answer
    x = 10,351.02

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