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Finding the Fourth Proportional to 14,087.76, 21,125.40 and 4,223.76

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Solution

The fourth proportional to 14,087.76, 21,125.40 and 4,223.76 is: 6,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.76 : 21,125.40 = 4,223.76 : x
  2. Step 2: Convert to fraction form
    14,087.76/21,125.40 = 4,223.76/x
  3. Step 3: Cross multiply
    14,087.76x = 21,125.40 × 4,223.76
  4. Step 4: Simplify right side
    14,087.76x = 89,228,619.50
  5. Step 5: Solve for x
    x = 89,228,619.50/14,087.76
  6. Step 6: Final answer
    x = 6,333.77

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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.