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Finding the Fourth Proportional to 24,671.53, 37,013.37 and 7,143.13

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Solution

The fourth proportional to 24,671.53, 37,013.37 and 7,143.13 is: 10,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.53 : 37,013.37 = 7,143.13 : x
  2. Step 2: Convert to fraction form
    24,671.53/37,013.37 = 7,143.13/x
  3. Step 3: Cross multiply
    24,671.53x = 37,013.37 × 7,143.13
  4. Step 4: Simplify right side
    24,671.53x = 264,391,313.65
  5. Step 5: Solve for x
    x = 264,391,313.65/24,671.53
  6. Step 6: Final answer
    x = 10,716.45

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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.