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Finding the Fourth Proportional to 12,034.76, 16,610.81 and 7,318.13

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Solution

The fourth proportional to 12,034.76, 16,610.81 and 7,318.13 is: 10,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.76 : 16,610.81 = 7,318.13 : x
  2. Step 2: Convert to fraction form
    12,034.76/16,610.81 = 7,318.13/x
  3. Step 3: Cross multiply
    12,034.76x = 16,610.81 × 7,318.13
  4. Step 4: Simplify right side
    12,034.76x = 121,559,947.34
  5. Step 5: Solve for x
    x = 121,559,947.34/12,034.76
  6. Step 6: Final answer
    x = 10,100.74

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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.