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Finding the Fourth Proportional to 14,998, 22,498.08 and 5,764

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Solution

The fourth proportional to 14,998, 22,498.08 and 5,764 is: 8,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998 : 22,498.08 = 5,764 : x
  2. Step 2: Convert to fraction form
    14,998/22,498.08 = 5,764/x
  3. Step 3: Cross multiply
    14,998x = 22,498.08 × 5,764
  4. Step 4: Simplify right side
    14,998x = 129,678,933.12
  5. Step 5: Solve for x
    x = 129,678,933.12/14,998
  6. Step 6: Final answer
    x = 8,646.42

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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.