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Finding the Fourth Proportional to 26,149.64, 36,085.62 and 14,969.48

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Solution

The fourth proportional to 26,149.64, 36,085.62 and 14,969.48 is: 20,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.64 : 36,085.62 = 14,969.48 : x
  2. Step 2: Convert to fraction form
    26,149.64/36,085.62 = 14,969.48/x
  3. Step 3: Cross multiply
    26,149.64x = 36,085.62 × 14,969.48
  4. Step 4: Simplify right side
    26,149.64x = 540,182,966.88
  5. Step 5: Solve for x
    x = 540,182,966.88/26,149.64
  6. Step 6: Final answer
    x = 20,657.38

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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.