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Finding the Fourth Proportional to 12,561.74, 18,842.61 and 7,364.78

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Solution

The fourth proportional to 12,561.74, 18,842.61 and 7,364.78 is: 11,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.74 : 18,842.61 = 7,364.78 : x
  2. Step 2: Convert to fraction form
    12,561.74/18,842.61 = 7,364.78/x
  3. Step 3: Cross multiply
    12,561.74x = 18,842.61 × 7,364.78
  4. Step 4: Simplify right side
    12,561.74x = 138,771,677.28
  5. Step 5: Solve for x
    x = 138,771,677.28/12,561.74
  6. Step 6: Final answer
    x = 11,047.17

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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.