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Finding the Fourth Proportional to 24,515.26, 36,775.08 and 9,522.02

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Solution

The fourth proportional to 24,515.26, 36,775.08 and 9,522.02 is: 14,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.26 : 36,775.08 = 9,522.02 : x
  2. Step 2: Convert to fraction form
    24,515.26/36,775.08 = 9,522.02/x
  3. Step 3: Cross multiply
    24,515.26x = 36,775.08 × 9,522.02
  4. Step 4: Simplify right side
    24,515.26x = 350,173,047.26
  5. Step 5: Solve for x
    x = 350,173,047.26/24,515.26
  6. Step 6: Final answer
    x = 14,283.88

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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.