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Finding the Fourth Proportional to 27,102.06, 40,642.99 and 9,327.76

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Solution

The fourth proportional to 27,102.06, 40,642.99 and 9,327.76 is: 13,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.06 : 40,642.99 = 9,327.76 : x
  2. Step 2: Convert to fraction form
    27,102.06/40,642.99 = 9,327.76/x
  3. Step 3: Cross multiply
    27,102.06x = 40,642.99 × 9,327.76
  4. Step 4: Simplify right side
    27,102.06x = 379,107,931.48
  5. Step 5: Solve for x
    x = 379,107,931.48/27,102.06
  6. Step 6: Final answer
    x = 13,988.16

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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.