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Finding the Fourth Proportional to 14,589.62, 21,906.30 and 8,356.68

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Solution

The fourth proportional to 14,589.62, 21,906.30 and 8,356.68 is: 12,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.62 : 21,906.30 = 8,356.68 : x
  2. Step 2: Convert to fraction form
    14,589.62/21,906.30 = 8,356.68/x
  3. Step 3: Cross multiply
    14,589.62x = 21,906.30 × 8,356.68
  4. Step 4: Simplify right side
    14,589.62x = 183,063,939.08
  5. Step 5: Solve for x
    x = 183,063,939.08/14,589.62
  6. Step 6: Final answer
    x = 12,547.55

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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.