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Finding the Fourth Proportional to 24,014.84, 33,158.04 and 15,522

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Solution

The fourth proportional to 24,014.84, 33,158.04 and 15,522 is: 21,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.84 : 33,158.04 = 15,522 : x
  2. Step 2: Convert to fraction form
    24,014.84/33,158.04 = 15,522/x
  3. Step 3: Cross multiply
    24,014.84x = 33,158.04 × 15,522
  4. Step 4: Simplify right side
    24,014.84x = 514,679,096.88
  5. Step 5: Solve for x
    x = 514,679,096.88/24,014.84
  6. Step 6: Final answer
    x = 21,431.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.