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Finding the Fourth Proportional to 20,969.32, 28,948.39 and 16,178.50

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Solution

The fourth proportional to 20,969.32, 28,948.39 and 16,178.50 is: 22,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.32 : 28,948.39 = 16,178.50 : x
  2. Step 2: Convert to fraction form
    20,969.32/28,948.39 = 16,178.50/x
  3. Step 3: Cross multiply
    20,969.32x = 28,948.39 × 16,178.50
  4. Step 4: Simplify right side
    20,969.32x = 468,341,550.49
  5. Step 5: Solve for x
    x = 468,341,550.49/20,969.32
  6. Step 6: Final answer
    x = 22,334.61

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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.