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Finding the Fourth Proportional to 14,884.32, 22,330.12 and 8,314.82

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Solution

The fourth proportional to 14,884.32, 22,330.12 and 8,314.82 is: 12,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.32 : 22,330.12 = 8,314.82 : x
  2. Step 2: Convert to fraction form
    14,884.32/22,330.12 = 8,314.82/x
  3. Step 3: Cross multiply
    14,884.32x = 22,330.12 × 8,314.82
  4. Step 4: Simplify right side
    14,884.32x = 185,670,928.38
  5. Step 5: Solve for x
    x = 185,670,928.38/14,884.32
  6. Step 6: Final answer
    x = 12,474.26

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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.