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Finding the Fourth Proportional to 27,873.10, 41,814.51 and 9,147.93

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Solution

The fourth proportional to 27,873.10, 41,814.51 and 9,147.93 is: 13,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.10 : 41,814.51 = 9,147.93 : x
  2. Step 2: Convert to fraction form
    27,873.10/41,814.51 = 9,147.93/x
  3. Step 3: Cross multiply
    27,873.10x = 41,814.51 × 9,147.93
  4. Step 4: Simplify right side
    27,873.10x = 382,516,210.46
  5. Step 5: Solve for x
    x = 382,516,210.46/27,873.10
  6. Step 6: Final answer
    x = 13,723.49

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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.