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Finding the Fourth Proportional to 13,094.92, 19,626.77 and 9,124.68

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Solution

The fourth proportional to 13,094.92, 19,626.77 and 9,124.68 is: 13,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.92 : 19,626.77 = 9,124.68 : x
  2. Step 2: Convert to fraction form
    13,094.92/19,626.77 = 9,124.68/x
  3. Step 3: Cross multiply
    13,094.92x = 19,626.77 × 9,124.68
  4. Step 4: Simplify right side
    13,094.92x = 179,087,876.46
  5. Step 5: Solve for x
    x = 179,087,876.46/13,094.92
  6. Step 6: Final answer
    x = 13,676.13

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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.