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Finding the Fourth Proportional to 14,983, 22,478.10 and 5,749

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Solution

The fourth proportional to 14,983, 22,478.10 and 5,749 is: 8,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983 : 22,478.10 = 5,749 : x
  2. Step 2: Convert to fraction form
    14,983/22,478.10 = 5,749/x
  3. Step 3: Cross multiply
    14,983x = 22,478.10 × 5,749
  4. Step 4: Simplify right side
    14,983x = 129,226,596.90
  5. Step 5: Solve for x
    x = 129,226,596.90/14,983
  6. Step 6: Final answer
    x = 8,624.88

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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.