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Finding the Fourth Proportional to 26,160, 39,240.48 and 6,438.48

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Solution

The fourth proportional to 26,160, 39,240.48 and 6,438.48 is: 9,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,160 : 39,240.48 = 6,438.48 : x
  2. Step 2: Convert to fraction form
    26,160/39,240.48 = 6,438.48/x
  3. Step 3: Cross multiply
    26,160x = 39,240.48 × 6,438.48
  4. Step 4: Simplify right side
    26,160x = 252,649,045.67
  5. Step 5: Solve for x
    x = 252,649,045.67/26,160
  6. Step 6: Final answer
    x = 9,657.84

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