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Finding the Fourth Proportional to 24,010.26, 36,031.59 and 8,428.02

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Solution

The fourth proportional to 24,010.26, 36,031.59 and 8,428.02 is: 12,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.26 : 36,031.59 = 8,428.02 : x
  2. Step 2: Convert to fraction form
    24,010.26/36,031.59 = 8,428.02/x
  3. Step 3: Cross multiply
    24,010.26x = 36,031.59 × 8,428.02
  4. Step 4: Simplify right side
    24,010.26x = 303,674,961.15
  5. Step 5: Solve for x
    x = 303,674,961.15/24,010.26
  6. Step 6: Final answer
    x = 12,647.72

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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.