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Finding the Fourth Proportional to 13,501.68, 18,632.34 and 7,451.78

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Solution

The fourth proportional to 13,501.68, 18,632.34 and 7,451.78 is: 10,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.68 : 18,632.34 = 7,451.78 : x
  2. Step 2: Convert to fraction form
    13,501.68/18,632.34 = 7,451.78/x
  3. Step 3: Cross multiply
    13,501.68x = 18,632.34 × 7,451.78
  4. Step 4: Simplify right side
    13,501.68x = 138,844,098.57
  5. Step 5: Solve for x
    x = 138,844,098.57/13,501.68
  6. Step 6: Final answer
    x = 10,283.47

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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.