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Finding the Fourth Proportional to 26,031, 35,929.26 and 14,859.48

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Solution

The fourth proportional to 26,031, 35,929.26 and 14,859.48 is: 20,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031 : 35,929.26 = 14,859.48 : x
  2. Step 2: Convert to fraction form
    26,031/35,929.26 = 14,859.48/x
  3. Step 3: Cross multiply
    26,031x = 35,929.26 × 14,859.48
  4. Step 4: Simplify right side
    26,031x = 533,890,120.38
  5. Step 5: Solve for x
    x = 533,890,120.38/26,031
  6. Step 6: Final answer
    x = 20,509.78

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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.