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Finding the Fourth Proportional to 14,319.93, 19,757.02 and 8,269.39

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Solution

The fourth proportional to 14,319.93, 19,757.02 and 8,269.39 is: 11,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.93 : 19,757.02 = 8,269.39 : x
  2. Step 2: Convert to fraction form
    14,319.93/19,757.02 = 8,269.39/x
  3. Step 3: Cross multiply
    14,319.93x = 19,757.02 × 8,269.39
  4. Step 4: Simplify right side
    14,319.93x = 163,378,503.62
  5. Step 5: Solve for x
    x = 163,378,503.62/14,319.93
  6. Step 6: Final answer
    x = 11,409.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.