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Finding the Fourth Proportional to 13,078.78, 19,586.64 and 7,515.22

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Solution

The fourth proportional to 13,078.78, 19,586.64 and 7,515.22 is: 11,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.78 : 19,586.64 = 7,515.22 : x
  2. Step 2: Convert to fraction form
    13,078.78/19,586.64 = 7,515.22/x
  3. Step 3: Cross multiply
    13,078.78x = 19,586.64 × 7,515.22
  4. Step 4: Simplify right side
    13,078.78x = 147,197,908.66
  5. Step 5: Solve for x
    x = 147,197,908.66/13,078.78
  6. Step 6: Final answer
    x = 11,254.71

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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.