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Finding the Fourth Proportional to 14,785.38, 20,407.25 and 9,750.51

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Solution

The fourth proportional to 14,785.38, 20,407.25 and 9,750.51 is: 13,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.38 : 20,407.25 = 9,750.51 : x
  2. Step 2: Convert to fraction form
    14,785.38/20,407.25 = 9,750.51/x
  3. Step 3: Cross multiply
    14,785.38x = 20,407.25 × 9,750.51
  4. Step 4: Simplify right side
    14,785.38x = 198,981,095.20
  5. Step 5: Solve for x
    x = 198,981,095.20/14,785.38
  6. Step 6: Final answer
    x = 13,457.96

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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.