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Finding the Fourth Proportional to 19,985.40, 29,978.10 and 15,773.40

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Solution

The fourth proportional to 19,985.40, 29,978.10 and 15,773.40 is: 23,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.40 : 29,978.10 = 15,773.40 : x
  2. Step 2: Convert to fraction form
    19,985.40/29,978.10 = 15,773.40/x
  3. Step 3: Cross multiply
    19,985.40x = 29,978.10 × 15,773.40
  4. Step 4: Simplify right side
    19,985.40x = 472,856,562.54
  5. Step 5: Solve for x
    x = 472,856,562.54/19,985.40
  6. Step 6: Final answer
    x = 23,660.10

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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.