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Finding the Fourth Proportional to 26,186.16, 36,132.84 and 15,006

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Solution

The fourth proportional to 26,186.16, 36,132.84 and 15,006 is: 20,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,186.16 : 36,132.84 = 15,006 : x
  2. Step 2: Convert to fraction form
    26,186.16/36,132.84 = 15,006/x
  3. Step 3: Cross multiply
    26,186.16x = 36,132.84 × 15,006
  4. Step 4: Simplify right side
    26,186.16x = 542,209,397.04
  5. Step 5: Solve for x
    x = 542,209,397.04/26,186.16
  6. Step 6: Final answer
    x = 20,705.95

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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.