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Finding the Fourth Proportional to 20,357.39, 30,490.98 and 15,642.70

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Solution

The fourth proportional to 20,357.39, 30,490.98 and 15,642.70 is: 23,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.39 : 30,490.98 = 15,642.70 : x
  2. Step 2: Convert to fraction form
    20,357.39/30,490.98 = 15,642.70/x
  3. Step 3: Cross multiply
    20,357.39x = 30,490.98 × 15,642.70
  4. Step 4: Simplify right side
    20,357.39x = 476,961,117.96
  5. Step 5: Solve for x
    x = 476,961,117.96/20,357.39
  6. Step 6: Final answer
    x = 23,429.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.