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Finding the Fourth Proportional to 19,878.90, 29,818.14 and 5,087.70

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Solution

The fourth proportional to 19,878.90, 29,818.14 and 5,087.70 is: 7,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.90 : 29,818.14 = 5,087.70 : x
  2. Step 2: Convert to fraction form
    19,878.90/29,818.14 = 5,087.70/x
  3. Step 3: Cross multiply
    19,878.90x = 29,818.14 × 5,087.70
  4. Step 4: Simplify right side
    19,878.90x = 151,705,750.88
  5. Step 5: Solve for x
    x = 151,705,750.88/19,878.90
  6. Step 6: Final answer
    x = 7,631.50

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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.