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Finding the Fourth Proportional to 16,207.84, 24,323.28 and 5,821.12

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Solution

The fourth proportional to 16,207.84, 24,323.28 and 5,821.12 is: 8,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.84 : 24,323.28 = 5,821.12 : x
  2. Step 2: Convert to fraction form
    16,207.84/24,323.28 = 5,821.12/x
  3. Step 3: Cross multiply
    16,207.84x = 24,323.28 × 5,821.12
  4. Step 4: Simplify right side
    16,207.84x = 141,588,731.67
  5. Step 5: Solve for x
    x = 141,588,731.67/16,207.84
  6. Step 6: Final answer
    x = 8,735.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.