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Finding the Fourth Proportional to 13,074.78, 19,580.64 and 7,511.22

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Solution

The fourth proportional to 13,074.78, 19,580.64 and 7,511.22 is: 11,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.78 : 19,580.64 = 7,511.22 : x
  2. Step 2: Convert to fraction form
    13,074.78/19,580.64 = 7,511.22/x
  3. Step 3: Cross multiply
    13,074.78x = 19,580.64 × 7,511.22
  4. Step 4: Simplify right side
    13,074.78x = 147,074,494.78
  5. Step 5: Solve for x
    x = 147,074,494.78/13,074.78
  6. Step 6: Final answer
    x = 11,248.72

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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.