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Finding the Fourth Proportional to 26,342.16, 39,509.08 and 7,869.84

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Solution

The fourth proportional to 26,342.16, 39,509.08 and 7,869.84 is: 11,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,342.16 : 39,509.08 = 7,869.84 : x
  2. Step 2: Convert to fraction form
    26,342.16/39,509.08 = 7,869.84/x
  3. Step 3: Cross multiply
    26,342.16x = 39,509.08 × 7,869.84
  4. Step 4: Simplify right side
    26,342.16x = 310,930,138.15
  5. Step 5: Solve for x
    x = 310,930,138.15/26,342.16
  6. Step 6: Final answer
    x = 11,803.52

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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.