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Finding the Fourth Proportional to 12,446.32, 18,663 and 5,870.74

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Solution

The fourth proportional to 12,446.32, 18,663 and 5,870.74 is: 8,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.32 : 18,663 = 5,870.74 : x
  2. Step 2: Convert to fraction form
    12,446.32/18,663 = 5,870.74/x
  3. Step 3: Cross multiply
    12,446.32x = 18,663 × 5,870.74
  4. Step 4: Simplify right side
    12,446.32x = 109,565,620.62
  5. Step 5: Solve for x
    x = 109,565,620.62/12,446.32
  6. Step 6: Final answer
    x = 8,803.05

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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.