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Finding the Fourth Proportional to 27,436.74, 41,148.72 and 7,717.20

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Solution

The fourth proportional to 27,436.74, 41,148.72 and 7,717.20 is: 11,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,436.74 : 41,148.72 = 7,717.20 : x
  2. Step 2: Convert to fraction form
    27,436.74/41,148.72 = 7,717.20/x
  3. Step 3: Cross multiply
    27,436.74x = 41,148.72 × 7,717.20
  4. Step 4: Simplify right side
    27,436.74x = 317,552,901.98
  5. Step 5: Solve for x
    x = 317,552,901.98/27,436.74
  6. Step 6: Final answer
    x = 11,574.00

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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.