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Finding the Fourth Proportional to 14,993, 22,490.58 and 5,759

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Solution

The fourth proportional to 14,993, 22,490.58 and 5,759 is: 8,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993 : 22,490.58 = 5,759 : x
  2. Step 2: Convert to fraction form
    14,993/22,490.58 = 5,759/x
  3. Step 3: Cross multiply
    14,993x = 22,490.58 × 5,759
  4. Step 4: Simplify right side
    14,993x = 129,523,250.22
  5. Step 5: Solve for x
    x = 129,523,250.22/14,993
  6. Step 6: Final answer
    x = 8,638.91

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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.