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Finding the Fourth Proportional to 26,403.90, 39,610.35 and 9,764.01

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Solution

The fourth proportional to 26,403.90, 39,610.35 and 9,764.01 is: 14,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,403.90 : 39,610.35 = 9,764.01 : x
  2. Step 2: Convert to fraction form
    26,403.90/39,610.35 = 9,764.01/x
  3. Step 3: Cross multiply
    26,403.90x = 39,610.35 × 9,764.01
  4. Step 4: Simplify right side
    26,403.90x = 386,755,853.50
  5. Step 5: Solve for x
    x = 386,755,853.50/26,403.90
  6. Step 6: Final answer
    x = 14,647.68

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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.