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Finding the Fourth Proportional to 24,150.29, 36,213.72 and 7,510.42

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Solution

The fourth proportional to 24,150.29, 36,213.72 and 7,510.42 is: 11,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150.29 : 36,213.72 = 7,510.42 : x
  2. Step 2: Convert to fraction form
    24,150.29/36,213.72 = 7,510.42/x
  3. Step 3: Cross multiply
    24,150.29x = 36,213.72 × 7,510.42
  4. Step 4: Simplify right side
    24,150.29x = 271,980,264.07
  5. Step 5: Solve for x
    x = 271,980,264.07/24,150.29
  6. Step 6: Final answer
    x = 11,261.99

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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.