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Finding the Fourth Proportional to 16,282, 24,424.04 and 4,596.13

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Solution

The fourth proportional to 16,282, 24,424.04 and 4,596.13 is: 6,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282 : 24,424.04 = 4,596.13 : x
  2. Step 2: Convert to fraction form
    16,282/24,424.04 = 4,596.13/x
  3. Step 3: Cross multiply
    16,282x = 24,424.04 × 4,596.13
  4. Step 4: Simplify right side
    16,282x = 112,256,062.97
  5. Step 5: Solve for x
    x = 112,256,062.97/16,282
  6. Step 6: Final answer
    x = 6,894.49

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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.