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Finding the Fourth Proportional to 13,030.68, 17,982.54 and 7,441.68

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Solution

The fourth proportional to 13,030.68, 17,982.54 and 7,441.68 is: 10,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.68 : 17,982.54 = 7,441.68 : x
  2. Step 2: Convert to fraction form
    13,030.68/17,982.54 = 7,441.68/x
  3. Step 3: Cross multiply
    13,030.68x = 17,982.54 × 7,441.68
  4. Step 4: Simplify right side
    13,030.68x = 133,820,308.27
  5. Step 5: Solve for x
    x = 133,820,308.27/13,030.68
  6. Step 6: Final answer
    x = 10,269.63

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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.