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Finding the Fourth Proportional to 30,677.60, 42,339.57 and 17,249.96

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Solution

The fourth proportional to 30,677.60, 42,339.57 and 17,249.96 is: 23,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.60 : 42,339.57 = 17,249.96 : x
  2. Step 2: Convert to fraction form
    30,677.60/42,339.57 = 17,249.96/x
  3. Step 3: Cross multiply
    30,677.60x = 42,339.57 × 17,249.96
  4. Step 4: Simplify right side
    30,677.60x = 730,355,888.92
  5. Step 5: Solve for x
    x = 730,355,888.92/30,677.60
  6. Step 6: Final answer
    x = 23,807.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.