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Finding the Fourth Proportional to 19,178.40, 28,770.44 and 9,823.71

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Solution

The fourth proportional to 19,178.40, 28,770.44 and 9,823.71 is: 14,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,178.40 : 28,770.44 = 9,823.71 : x
  2. Step 2: Convert to fraction form
    19,178.40/28,770.44 = 9,823.71/x
  3. Step 3: Cross multiply
    19,178.40x = 28,770.44 × 9,823.71
  4. Step 4: Simplify right side
    19,178.40x = 282,632,410.01
  5. Step 5: Solve for x
    x = 282,632,410.01/19,178.40
  6. Step 6: Final answer
    x = 14,737.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.