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Finding the Fourth Proportional to 19,902.80, 29,873.40 and 10,053.20

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Solution

The fourth proportional to 19,902.80, 29,873.40 and 10,053.20 is: 15,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.80 : 29,873.40 = 10,053.20 : x
  2. Step 2: Convert to fraction form
    19,902.80/29,873.40 = 10,053.20/x
  3. Step 3: Cross multiply
    19,902.80x = 29,873.40 × 10,053.20
  4. Step 4: Simplify right side
    19,902.80x = 300,323,264.88
  5. Step 5: Solve for x
    x = 300,323,264.88/19,902.80
  6. Step 6: Final answer
    x = 15,089.50

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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.