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Finding the Fourth Proportional to 30,569.72, 42,186.66 and 17,822.54

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Solution

The fourth proportional to 30,569.72, 42,186.66 and 17,822.54 is: 24,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.72 : 42,186.66 = 17,822.54 : x
  2. Step 2: Convert to fraction form
    30,569.72/42,186.66 = 17,822.54/x
  3. Step 3: Cross multiply
    30,569.72x = 42,186.66 × 17,822.54
  4. Step 4: Simplify right side
    30,569.72x = 751,873,473.95
  5. Step 5: Solve for x
    x = 751,873,473.95/30,569.72
  6. Step 6: Final answer
    x = 24,595.37

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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.