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Finding the Fourth Proportional to 30,570.09, 42,187.17 and 17,822.93

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Solution

The fourth proportional to 30,570.09, 42,187.17 and 17,822.93 is: 24,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.09 : 42,187.17 = 17,822.93 : x
  2. Step 2: Convert to fraction form
    30,570.09/42,187.17 = 17,822.93/x
  3. Step 3: Cross multiply
    30,570.09x = 42,187.17 × 17,822.93
  4. Step 4: Simplify right side
    30,570.09x = 751,898,766.87
  5. Step 5: Solve for x
    x = 751,898,766.87/30,570.09
  6. Step 6: Final answer
    x = 24,595.90

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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.