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Finding the Fourth Proportional to 16,449.84, 24,678 and 4,763.16

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Solution

The fourth proportional to 16,449.84, 24,678 and 4,763.16 is: 7,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.84 : 24,678 = 4,763.16 : x
  2. Step 2: Convert to fraction form
    16,449.84/24,678 = 4,763.16/x
  3. Step 3: Cross multiply
    16,449.84x = 24,678 × 4,763.16
  4. Step 4: Simplify right side
    16,449.84x = 117,545,262.48
  5. Step 5: Solve for x
    x = 117,545,262.48/16,449.84
  6. Step 6: Final answer
    x = 7,145.68

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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.