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Finding the Fourth Proportional to 18,842.40, 28,277.64 and 7,178.40

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Solution

The fourth proportional to 18,842.40, 28,277.64 and 7,178.40 is: 10,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.40 : 28,277.64 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    18,842.40/28,277.64 = 7,178.40/x
  3. Step 3: Cross multiply
    18,842.40x = 28,277.64 × 7,178.40
  4. Step 4: Simplify right side
    18,842.40x = 202,988,210.98
  5. Step 5: Solve for x
    x = 202,988,210.98/18,842.40
  6. Step 6: Final answer
    x = 10,772.95

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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.