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Finding the Fourth Proportional to 10,132.74, 15,199.34 and 8,054.18

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Solution

The fourth proportional to 10,132.74, 15,199.34 and 8,054.18 is: 12,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.74 : 15,199.34 = 8,054.18 : x
  2. Step 2: Convert to fraction form
    10,132.74/15,199.34 = 8,054.18/x
  3. Step 3: Cross multiply
    10,132.74x = 15,199.34 × 8,054.18
  4. Step 4: Simplify right side
    10,132.74x = 122,418,220.24
  5. Step 5: Solve for x
    x = 122,418,220.24/10,132.74
  6. Step 6: Final answer
    x = 12,081.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.