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Finding the Fourth Proportional to 26,411.85, 36,449.26 and 14,475.08

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Solution

The fourth proportional to 26,411.85, 36,449.26 and 14,475.08 is: 19,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,411.85 : 36,449.26 = 14,475.08 : x
  2. Step 2: Convert to fraction form
    26,411.85/36,449.26 = 14,475.08/x
  3. Step 3: Cross multiply
    26,411.85x = 36,449.26 × 14,475.08
  4. Step 4: Simplify right side
    26,411.85x = 527,606,009.38
  5. Step 5: Solve for x
    x = 527,606,009.38/26,411.85
  6. Step 6: Final answer
    x = 19,976.11

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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.