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Finding the Fourth Proportional to 24,868.21, 37,264.02 and 11,533

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Solution

The fourth proportional to 24,868.21, 37,264.02 and 11,533 is: 17,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.21 : 37,264.02 = 11,533 : x
  2. Step 2: Convert to fraction form
    24,868.21/37,264.02 = 11,533/x
  3. Step 3: Cross multiply
    24,868.21x = 37,264.02 × 11,533
  4. Step 4: Simplify right side
    24,868.21x = 429,765,942.66
  5. Step 5: Solve for x
    x = 429,765,942.66/24,868.21
  6. Step 6: Final answer
    x = 17,281.74

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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.