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Finding the Fourth Proportional to 26,223.64, 39,314.98 and 17,882.98

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Solution

The fourth proportional to 26,223.64, 39,314.98 and 17,882.98 is: 26,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,223.64 : 39,314.98 = 17,882.98 : x
  2. Step 2: Convert to fraction form
    26,223.64/39,314.98 = 17,882.98/x
  3. Step 3: Cross multiply
    26,223.64x = 39,314.98 × 17,882.98
  4. Step 4: Simplify right side
    26,223.64x = 703,069,001.04
  5. Step 5: Solve for x
    x = 703,069,001.04/26,223.64
  6. Step 6: Final answer
    x = 26,810.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.