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Finding the Fourth Proportional to 14,697.18, 22,046.58 and 4,839.48

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Solution

The fourth proportional to 14,697.18, 22,046.58 and 4,839.48 is: 7,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.18 : 22,046.58 = 4,839.48 : x
  2. Step 2: Convert to fraction form
    14,697.18/22,046.58 = 4,839.48/x
  3. Step 3: Cross multiply
    14,697.18x = 22,046.58 × 4,839.48
  4. Step 4: Simplify right side
    14,697.18x = 106,693,982.98
  5. Step 5: Solve for x
    x = 106,693,982.98/14,697.18
  6. Step 6: Final answer
    x = 7,259.49

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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.