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Finding the Fourth Proportional to 26,142.70, 39,214.18 and 6,421.26

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Solution

The fourth proportional to 26,142.70, 39,214.18 and 6,421.26 is: 9,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.70 : 39,214.18 = 6,421.26 : x
  2. Step 2: Convert to fraction form
    26,142.70/39,214.18 = 6,421.26/x
  3. Step 3: Cross multiply
    26,142.70x = 39,214.18 × 6,421.26
  4. Step 4: Simplify right side
    26,142.70x = 251,804,429.41
  5. Step 5: Solve for x
    x = 251,804,429.41/26,142.70
  6. Step 6: Final answer
    x = 9,631.92

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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.