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Finding the Fourth Proportional to 14,358.39, 19,816.44 and 8,071.98

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Solution

The fourth proportional to 14,358.39, 19,816.44 and 8,071.98 is: 11,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.39 : 19,816.44 = 8,071.98 : x
  2. Step 2: Convert to fraction form
    14,358.39/19,816.44 = 8,071.98/x
  3. Step 3: Cross multiply
    14,358.39x = 19,816.44 × 8,071.98
  4. Step 4: Simplify right side
    14,358.39x = 159,957,907.35
  5. Step 5: Solve for x
    x = 159,957,907.35/14,358.39
  6. Step 6: Final answer
    x = 11,140.38

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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.