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Finding the Fourth Proportional to 26,174, 39,271.50 and 9,535.18

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Solution

The fourth proportional to 26,174, 39,271.50 and 9,535.18 is: 14,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174 : 39,271.50 = 9,535.18 : x
  2. Step 2: Convert to fraction form
    26,174/39,271.50 = 9,535.18/x
  3. Step 3: Cross multiply
    26,174x = 39,271.50 × 9,535.18
  4. Step 4: Simplify right side
    26,174x = 374,460,821.37
  5. Step 5: Solve for x
    x = 374,460,821.37/26,174
  6. Step 6: Final answer
    x = 14,306.60

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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.