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Finding the Fourth Proportional to 14,478.40, 21,714 and 6,154.12

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Solution

The fourth proportional to 14,478.40, 21,714 and 6,154.12 is: 9,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.40 : 21,714 = 6,154.12 : x
  2. Step 2: Convert to fraction form
    14,478.40/21,714 = 6,154.12/x
  3. Step 3: Cross multiply
    14,478.40x = 21,714 × 6,154.12
  4. Step 4: Simplify right side
    14,478.40x = 133,630,561.68
  5. Step 5: Solve for x
    x = 133,630,561.68/14,478.40
  6. Step 6: Final answer
    x = 9,229.65

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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.