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Finding the Fourth Proportional to 27,015.74, 40,531.38 and 8,298.50

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Solution

The fourth proportional to 27,015.74, 40,531.38 and 8,298.50 is: 12,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015.74 : 40,531.38 = 8,298.50 : x
  2. Step 2: Convert to fraction form
    27,015.74/40,531.38 = 8,298.50/x
  3. Step 3: Cross multiply
    27,015.74x = 40,531.38 × 8,298.50
  4. Step 4: Simplify right side
    27,015.74x = 336,349,656.93
  5. Step 5: Solve for x
    x = 336,349,656.93/27,015.74
  6. Step 6: Final answer
    x = 12,450.14

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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.