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Finding the Fourth Proportional to 26,474.13, 39,686.13 and 9,822.86

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Solution

The fourth proportional to 26,474.13, 39,686.13 and 9,822.86 is: 14,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,474.13 : 39,686.13 = 9,822.86 : x
  2. Step 2: Convert to fraction form
    26,474.13/39,686.13 = 9,822.86/x
  3. Step 3: Cross multiply
    26,474.13x = 39,686.13 × 9,822.86
  4. Step 4: Simplify right side
    26,474.13x = 389,831,100.50
  5. Step 5: Solve for x
    x = 389,831,100.50/26,474.13
  6. Step 6: Final answer
    x = 14,724.98

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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.