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Finding the Fourth Proportional to 16,484.29, 22,747.84 and 9,678.20

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Solution

The fourth proportional to 16,484.29, 22,747.84 and 9,678.20 is: 13,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.29 : 22,747.84 = 9,678.20 : x
  2. Step 2: Convert to fraction form
    16,484.29/22,747.84 = 9,678.20/x
  3. Step 3: Cross multiply
    16,484.29x = 22,747.84 × 9,678.20
  4. Step 4: Simplify right side
    16,484.29x = 220,158,007.15
  5. Step 5: Solve for x
    x = 220,158,007.15/16,484.29
  6. Step 6: Final answer
    x = 13,355.63

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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.