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Finding the Fourth Proportional to 14,288.50, 21,429.56 and 4,928.14

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Solution

The fourth proportional to 14,288.50, 21,429.56 and 4,928.14 is: 7,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.50 : 21,429.56 = 4,928.14 : x
  2. Step 2: Convert to fraction form
    14,288.50/21,429.56 = 4,928.14/x
  3. Step 3: Cross multiply
    14,288.50x = 21,429.56 × 4,928.14
  4. Step 4: Simplify right side
    14,288.50x = 105,607,910.93
  5. Step 5: Solve for x
    x = 105,607,910.93/14,288.50
  6. Step 6: Final answer
    x = 7,391.11

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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.