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Finding the Fourth Proportional to 14,992, 22,489.08 and 5,758

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Solution

The fourth proportional to 14,992, 22,489.08 and 5,758 is: 8,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 22,489.08 = 5,758 : x
  2. Step 2: Convert to fraction form
    14,992/22,489.08 = 5,758/x
  3. Step 3: Cross multiply
    14,992x = 22,489.08 × 5,758
  4. Step 4: Simplify right side
    14,992x = 129,492,122.64
  5. Step 5: Solve for x
    x = 129,492,122.64/14,992
  6. Step 6: Final answer
    x = 8,637.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.