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Finding the Fourth Proportional to 19,913.93, 29,870.89 and 8,227.45

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Solution

The fourth proportional to 19,913.93, 29,870.89 and 8,227.45 is: 12,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.93 : 29,870.89 = 8,227.45 : x
  2. Step 2: Convert to fraction form
    19,913.93/29,870.89 = 8,227.45/x
  3. Step 3: Cross multiply
    19,913.93x = 29,870.89 × 8,227.45
  4. Step 4: Simplify right side
    19,913.93x = 245,761,274.50
  5. Step 5: Solve for x
    x = 245,761,274.50/19,913.93
  6. Step 6: Final answer
    x = 12,341.18

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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.