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Finding the Fourth Proportional to 24,322.28, 36,486.40 and 8,314.45

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Solution

The fourth proportional to 24,322.28, 36,486.40 and 8,314.45 is: 12,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.28 : 36,486.40 = 8,314.45 : x
  2. Step 2: Convert to fraction form
    24,322.28/36,486.40 = 8,314.45/x
  3. Step 3: Cross multiply
    24,322.28x = 36,486.40 × 8,314.45
  4. Step 4: Simplify right side
    24,322.28x = 303,364,252.07
  5. Step 5: Solve for x
    x = 303,364,252.07/24,322.28
  6. Step 6: Final answer
    x = 12,472.69

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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.