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Finding the Fourth Proportional to 14,812.86, 20,439.51 and 9,508.38

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Solution

The fourth proportional to 14,812.86, 20,439.51 and 9,508.38 is: 13,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.86 : 20,439.51 = 9,508.38 : x
  2. Step 2: Convert to fraction form
    14,812.86/20,439.51 = 9,508.38/x
  3. Step 3: Cross multiply
    14,812.86x = 20,439.51 × 9,508.38
  4. Step 4: Simplify right side
    14,812.86x = 194,346,628.09
  5. Step 5: Solve for x
    x = 194,346,628.09/14,812.86
  6. Step 6: Final answer
    x = 13,120.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.