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Finding the Fourth Proportional to 24,708.69, 34,102.49 and 15,749.01

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Solution

The fourth proportional to 24,708.69, 34,102.49 and 15,749.01 is: 21,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.69 : 34,102.49 = 15,749.01 : x
  2. Step 2: Convert to fraction form
    24,708.69/34,102.49 = 15,749.01/x
  3. Step 3: Cross multiply
    24,708.69x = 34,102.49 × 15,749.01
  4. Step 4: Simplify right side
    24,708.69x = 537,080,377.29
  5. Step 5: Solve for x
    x = 537,080,377.29/24,708.69
  6. Step 6: Final answer
    x = 21,736.50

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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.