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Finding the Fourth Proportional to 18,378.54, 27,559.17 and 12,838.14

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Solution

The fourth proportional to 18,378.54, 27,559.17 and 12,838.14 is: 19,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.54 : 27,559.17 = 12,838.14 : x
  2. Step 2: Convert to fraction form
    18,378.54/27,559.17 = 12,838.14/x
  3. Step 3: Cross multiply
    18,378.54x = 27,559.17 × 12,838.14
  4. Step 4: Simplify right side
    18,378.54x = 353,808,482.74
  5. Step 5: Solve for x
    x = 353,808,482.74/18,378.54
  6. Step 6: Final answer
    x = 19,251.17

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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.