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Finding the Fourth Proportional to 26,064, 39,101.76 and 9,648

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Solution

The fourth proportional to 26,064, 39,101.76 and 9,648 is: 14,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 39,101.76 = 9,648 : x
  2. Step 2: Convert to fraction form
    26,064/39,101.76 = 9,648/x
  3. Step 3: Cross multiply
    26,064x = 39,101.76 × 9,648
  4. Step 4: Simplify right side
    26,064x = 377,253,780.48
  5. Step 5: Solve for x
    x = 377,253,780.48/26,064
  6. Step 6: Final answer
    x = 14,474.13

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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.