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Finding the Fourth Proportional to 16,262.48, 24,396 and 5,168

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Solution

The fourth proportional to 16,262.48, 24,396 and 5,168 is: 7,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.48 : 24,396 = 5,168 : x
  2. Step 2: Convert to fraction form
    16,262.48/24,396 = 5,168/x
  3. Step 3: Cross multiply
    16,262.48x = 24,396 × 5,168
  4. Step 4: Simplify right side
    16,262.48x = 126,078,528
  5. Step 5: Solve for x
    x = 126,078,528/16,262.48
  6. Step 6: Final answer
    x = 7,752.72

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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.