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Finding the Fourth Proportional to 16,616.39, 24,924.57 and 4,929.50

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Solution

The fourth proportional to 16,616.39, 24,924.57 and 4,929.50 is: 7,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.39 : 24,924.57 = 4,929.50 : x
  2. Step 2: Convert to fraction form
    16,616.39/24,924.57 = 4,929.50/x
  3. Step 3: Cross multiply
    16,616.39x = 24,924.57 × 4,929.50
  4. Step 4: Simplify right side
    16,616.39x = 122,865,667.82
  5. Step 5: Solve for x
    x = 122,865,667.82/16,616.39
  6. Step 6: Final answer
    x = 7,394.25

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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.