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Finding the Fourth Proportional to 26,496.40, 39,647.40 and 17,748.40

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Solution

The fourth proportional to 26,496.40, 39,647.40 and 17,748.40 is: 26,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.40 : 39,647.40 = 17,748.40 : x
  2. Step 2: Convert to fraction form
    26,496.40/39,647.40 = 17,748.40/x
  3. Step 3: Cross multiply
    26,496.40x = 39,647.40 × 17,748.40
  4. Step 4: Simplify right side
    26,496.40x = 703,677,914.16
  5. Step 5: Solve for x
    x = 703,677,914.16/26,496.40
  6. Step 6: Final answer
    x = 26,557.49

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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.