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Finding the Fourth Proportional to 14,473.05, 21,702.42 and 5,110.68

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Solution

The fourth proportional to 14,473.05, 21,702.42 and 5,110.68 is: 7,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.05 : 21,702.42 = 5,110.68 : x
  2. Step 2: Convert to fraction form
    14,473.05/21,702.42 = 5,110.68/x
  3. Step 3: Cross multiply
    14,473.05x = 21,702.42 × 5,110.68
  4. Step 4: Simplify right side
    14,473.05x = 110,914,123.85
  5. Step 5: Solve for x
    x = 110,914,123.85/14,473.05
  6. Step 6: Final answer
    x = 7,663.49

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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.