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Finding the Fourth Proportional to 27,151.97, 40,727.90 and 7,430.69

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Solution

The fourth proportional to 27,151.97, 40,727.90 and 7,430.69 is: 11,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.97 : 40,727.90 = 7,430.69 : x
  2. Step 2: Convert to fraction form
    27,151.97/40,727.90 = 7,430.69/x
  3. Step 3: Cross multiply
    27,151.97x = 40,727.90 × 7,430.69
  4. Step 4: Simplify right side
    27,151.97x = 302,636,158.46
  5. Step 5: Solve for x
    x = 302,636,158.46/27,151.97
  6. Step 6: Final answer
    x = 11,146.01

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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.