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Finding the Fourth Proportional to 26,002.17, 35,883 and 14,065.52

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Solution

The fourth proportional to 26,002.17, 35,883 and 14,065.52 is: 19,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002.17 : 35,883 = 14,065.52 : x
  2. Step 2: Convert to fraction form
    26,002.17/35,883 = 14,065.52/x
  3. Step 3: Cross multiply
    26,002.17x = 35,883 × 14,065.52
  4. Step 4: Simplify right side
    26,002.17x = 504,712,874.75
  5. Step 5: Solve for x
    x = 504,712,874.75/26,002.17
  6. Step 6: Final answer
    x = 19,410.41

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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.