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Finding the Fourth Proportional to 14,509.92, 21,794.05 and 12,680.13

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Solution

The fourth proportional to 14,509.92, 21,794.05 and 12,680.13 is: 19,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.92 : 21,794.05 = 12,680.13 : x
  2. Step 2: Convert to fraction form
    14,509.92/21,794.05 = 12,680.13/x
  3. Step 3: Cross multiply
    14,509.92x = 21,794.05 × 12,680.13
  4. Step 4: Simplify right side
    14,509.92x = 276,351,387.23
  5. Step 5: Solve for x
    x = 276,351,387.23/14,509.92
  6. Step 6: Final answer
    x = 19,045.69

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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.