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Finding the Fourth Proportional to 27,046.19, 40,574.51 and 8,322.90

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Solution

The fourth proportional to 27,046.19, 40,574.51 and 8,322.90 is: 12,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.19 : 40,574.51 = 8,322.90 : x
  2. Step 2: Convert to fraction form
    27,046.19/40,574.51 = 8,322.90/x
  3. Step 3: Cross multiply
    27,046.19x = 40,574.51 × 8,322.90
  4. Step 4: Simplify right side
    27,046.19x = 337,697,711.52
  5. Step 5: Solve for x
    x = 337,697,711.52/27,046.19
  6. Step 6: Final answer
    x = 12,485.96

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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.