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Finding the Fourth Proportional to 24,805.72, 34,222.18 and 14,189.72

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Solution

The fourth proportional to 24,805.72, 34,222.18 and 14,189.72 is: 19,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.72 : 34,222.18 = 14,189.72 : x
  2. Step 2: Convert to fraction form
    24,805.72/34,222.18 = 14,189.72/x
  3. Step 3: Cross multiply
    24,805.72x = 34,222.18 × 14,189.72
  4. Step 4: Simplify right side
    24,805.72x = 485,603,151.99
  5. Step 5: Solve for x
    x = 485,603,151.99/24,805.72
  6. Step 6: Final answer
    x = 19,576.26

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1.5x scale

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.