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Finding the Fourth Proportional to 13,098.92, 18,077.45 and 7,434.63

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Solution

The fourth proportional to 13,098.92, 18,077.45 and 7,434.63 is: 10,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.92 : 18,077.45 = 7,434.63 : x
  2. Step 2: Convert to fraction form
    13,098.92/18,077.45 = 7,434.63/x
  3. Step 3: Cross multiply
    13,098.92x = 18,077.45 × 7,434.63
  4. Step 4: Simplify right side
    13,098.92x = 134,399,114.92
  5. Step 5: Solve for x
    x = 134,399,114.92/13,098.92
  6. Step 6: Final answer
    x = 10,260.32

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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.