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Finding the Fourth Proportional to 27,466, 41,174.56 and 9,931.93

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Solution

The fourth proportional to 27,466, 41,174.56 and 9,931.93 is: 14,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466 : 41,174.56 = 9,931.93 : x
  2. Step 2: Convert to fraction form
    27,466/41,174.56 = 9,931.93/x
  3. Step 3: Cross multiply
    27,466x = 41,174.56 × 9,931.93
  4. Step 4: Simplify right side
    27,466x = 408,942,847.70
  5. Step 5: Solve for x
    x = 408,942,847.70/27,466
  6. Step 6: Final answer
    x = 14,889.06

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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.