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Finding the Fourth Proportional to 23,752.71, 32,776.38 and 13,142.07

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Solution

The fourth proportional to 23,752.71, 32,776.38 and 13,142.07 is: 18,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.71 : 32,776.38 = 13,142.07 : x
  2. Step 2: Convert to fraction form
    23,752.71/32,776.38 = 13,142.07/x
  3. Step 3: Cross multiply
    23,752.71x = 32,776.38 × 13,142.07
  4. Step 4: Simplify right side
    23,752.71x = 430,749,480.31
  5. Step 5: Solve for x
    x = 430,749,480.31/23,752.71
  6. Step 6: Final answer
    x = 18,134.75

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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.