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Finding the Fourth Proportional to 26,429, 36,472.02 and 15,257.48

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Solution

The fourth proportional to 26,429, 36,472.02 and 15,257.48 is: 21,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,429 : 36,472.02 = 15,257.48 : x
  2. Step 2: Convert to fraction form
    26,429/36,472.02 = 15,257.48/x
  3. Step 3: Cross multiply
    26,429x = 36,472.02 × 15,257.48
  4. Step 4: Simplify right side
    26,429x = 556,471,115.71
  5. Step 5: Solve for x
    x = 556,471,115.71/26,429
  6. Step 6: Final answer
    x = 21,055.32

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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.