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Finding the Fourth Proportional to 16,398.84, 22,628.48 and 9,323.76

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Solution

The fourth proportional to 16,398.84, 22,628.48 and 9,323.76 is: 12,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.84 : 22,628.48 = 9,323.76 : x
  2. Step 2: Convert to fraction form
    16,398.84/22,628.48 = 9,323.76/x
  3. Step 3: Cross multiply
    16,398.84x = 22,628.48 × 9,323.76
  4. Step 4: Simplify right side
    16,398.84x = 210,982,516.68
  5. Step 5: Solve for x
    x = 210,982,516.68/16,398.84
  6. Step 6: Final answer
    x = 12,865.70

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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.