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Finding the Fourth Proportional to 30,856.80, 42,582.22 and 16,709.52

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Solution

The fourth proportional to 30,856.80, 42,582.22 and 16,709.52 is: 23,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.80 : 42,582.22 = 16,709.52 : x
  2. Step 2: Convert to fraction form
    30,856.80/42,582.22 = 16,709.52/x
  3. Step 3: Cross multiply
    30,856.80x = 42,582.22 × 16,709.52
  4. Step 4: Simplify right side
    30,856.80x = 711,528,456.73
  5. Step 5: Solve for x
    x = 711,528,456.73/30,856.80
  6. Step 6: Final answer
    x = 23,059.05

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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.