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Finding the Fourth Proportional to 24,182.72, 36,266.40 and 10,328

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Solution

The fourth proportional to 24,182.72, 36,266.40 and 10,328 is: 15,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.72 : 36,266.40 = 10,328 : x
  2. Step 2: Convert to fraction form
    24,182.72/36,266.40 = 10,328/x
  3. Step 3: Cross multiply
    24,182.72x = 36,266.40 × 10,328
  4. Step 4: Simplify right side
    24,182.72x = 374,559,379.20
  5. Step 5: Solve for x
    x = 374,559,379.20/24,182.72
  6. Step 6: Final answer
    x = 15,488.72

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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.