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Finding the Fourth Proportional to 13,132.41, 18,122.71 and 7,164.07

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Solution

The fourth proportional to 13,132.41, 18,122.71 and 7,164.07 is: 9,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.41 : 18,122.71 = 7,164.07 : x
  2. Step 2: Convert to fraction form
    13,132.41/18,122.71 = 7,164.07/x
  3. Step 3: Cross multiply
    13,132.41x = 18,122.71 × 7,164.07
  4. Step 4: Simplify right side
    13,132.41x = 129,832,363.03
  5. Step 5: Solve for x
    x = 129,832,363.03/13,132.41
  6. Step 6: Final answer
    x = 9,886.41

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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.