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Finding the Fourth Proportional to 19,888.58, 29,838.79 and 8,202.50

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Solution

The fourth proportional to 19,888.58, 29,838.79 and 8,202.50 is: 12,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888.58 : 29,838.79 = 8,202.50 : x
  2. Step 2: Convert to fraction form
    19,888.58/29,838.79 = 8,202.50/x
  3. Step 3: Cross multiply
    19,888.58x = 29,838.79 × 8,202.50
  4. Step 4: Simplify right side
    19,888.58x = 244,752,674.98
  5. Step 5: Solve for x
    x = 244,752,674.98/19,888.58
  6. Step 6: Final answer
    x = 12,306.19

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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.