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Finding the Fourth Proportional to 14,298.75, 21,448.17 and 3,910.50

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Solution

The fourth proportional to 14,298.75, 21,448.17 and 3,910.50 is: 5,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.75 : 21,448.17 = 3,910.50 : x
  2. Step 2: Convert to fraction form
    14,298.75/21,448.17 = 3,910.50/x
  3. Step 3: Cross multiply
    14,298.75x = 21,448.17 × 3,910.50
  4. Step 4: Simplify right side
    14,298.75x = 83,873,068.79
  5. Step 5: Solve for x
    x = 83,873,068.79/14,298.75
  6. Step 6: Final answer
    x = 5,865.76

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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.