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Finding the Fourth Proportional to 25,929, 35,782.20 and 14,751

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Solution

The fourth proportional to 25,929, 35,782.20 and 14,751 is: 20,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,929 : 35,782.20 = 14,751 : x
  2. Step 2: Convert to fraction form
    25,929/35,782.20 = 14,751/x
  3. Step 3: Cross multiply
    25,929x = 35,782.20 × 14,751
  4. Step 4: Simplify right side
    25,929x = 527,823,232.20
  5. Step 5: Solve for x
    x = 527,823,232.20/25,929
  6. Step 6: Final answer
    x = 20,356.48

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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.