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Finding the Fourth Proportional to 27,151.07, 40,732.97 and 8,430.14

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Solution

The fourth proportional to 27,151.07, 40,732.97 and 8,430.14 is: 12,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.07 : 40,732.97 = 8,430.14 : x
  2. Step 2: Convert to fraction form
    27,151.07/40,732.97 = 8,430.14/x
  3. Step 3: Cross multiply
    27,151.07x = 40,732.97 × 8,430.14
  4. Step 4: Simplify right side
    27,151.07x = 343,384,457.13
  5. Step 5: Solve for x
    x = 343,384,457.13/27,151.07
  6. Step 6: Final answer
    x = 12,647.18

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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.