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Finding the Fourth Proportional to 26,347.48, 39,536.81 and 9,719.20

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Solution

The fourth proportional to 26,347.48, 39,536.81 and 9,719.20 is: 14,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,347.48 : 39,536.81 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    26,347.48/39,536.81 = 9,719.20/x
  3. Step 3: Cross multiply
    26,347.48x = 39,536.81 × 9,719.20
  4. Step 4: Simplify right side
    26,347.48x = 384,266,052.76
  5. Step 5: Solve for x
    x = 384,266,052.76/26,347.48
  6. Step 6: Final answer
    x = 14,584.55

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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.