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Finding the Fourth Proportional to 27,173.42, 40,767.24 and 9,407.78

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Solution

The fourth proportional to 27,173.42, 40,767.24 and 9,407.78 is: 14,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,173.42 : 40,767.24 = 9,407.78 : x
  2. Step 2: Convert to fraction form
    27,173.42/40,767.24 = 9,407.78/x
  3. Step 3: Cross multiply
    27,173.42x = 40,767.24 × 9,407.78
  4. Step 4: Simplify right side
    27,173.42x = 383,529,225.13
  5. Step 5: Solve for x
    x = 383,529,225.13/27,173.42
  6. Step 6: Final answer
    x = 14,114.13

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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.