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Finding the Fourth Proportional to 24,772, 34,184.91 and 14,016.76

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Solution

The fourth proportional to 24,772, 34,184.91 and 14,016.76 is: 19,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772 : 34,184.91 = 14,016.76 : x
  2. Step 2: Convert to fraction form
    24,772/34,184.91 = 14,016.76/x
  3. Step 3: Cross multiply
    24,772x = 34,184.91 × 14,016.76
  4. Step 4: Simplify right side
    24,772x = 479,161,679.09
  5. Step 5: Solve for x
    x = 479,161,679.09/24,772
  6. Step 6: Final answer
    x = 19,342.87

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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.