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Finding the Fourth Proportional to 14,687.60, 22,035.24 and 4,828.40

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Solution

The fourth proportional to 14,687.60, 22,035.24 and 4,828.40 is: 7,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.60 : 22,035.24 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    14,687.60/22,035.24 = 4,828.40/x
  3. Step 3: Cross multiply
    14,687.60x = 22,035.24 × 4,828.40
  4. Step 4: Simplify right side
    14,687.60x = 106,394,952.82
  5. Step 5: Solve for x
    x = 106,394,952.82/14,687.60
  6. Step 6: Final answer
    x = 7,243.86

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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.