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Finding the Fourth Proportional to 23,707.38, 32,701.73 and 15,206.64

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Solution

The fourth proportional to 23,707.38, 32,701.73 and 15,206.64 is: 20,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.38 : 32,701.73 = 15,206.64 : x
  2. Step 2: Convert to fraction form
    23,707.38/32,701.73 = 15,206.64/x
  3. Step 3: Cross multiply
    23,707.38x = 32,701.73 × 15,206.64
  4. Step 4: Simplify right side
    23,707.38x = 497,283,236.82
  5. Step 5: Solve for x
    x = 497,283,236.82/23,707.38
  6. Step 6: Final answer
    x = 20,975.88

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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.