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Finding the Fourth Proportional to 19,371.58, 29,060.78 and 10,009

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Solution

The fourth proportional to 19,371.58, 29,060.78 and 10,009 is: 15,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371.58 : 29,060.78 = 10,009 : x
  2. Step 2: Convert to fraction form
    19,371.58/29,060.78 = 10,009/x
  3. Step 3: Cross multiply
    19,371.58x = 29,060.78 × 10,009
  4. Step 4: Simplify right side
    19,371.58x = 290,869,347.02
  5. Step 5: Solve for x
    x = 290,869,347.02/19,371.58
  6. Step 6: Final answer
    x = 15,015.26

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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.