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Finding the Fourth Proportional to 12,218.77, 18,319.18 and 3,894

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Solution

The fourth proportional to 12,218.77, 18,319.18 and 3,894 is: 5,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.77 : 18,319.18 = 3,894 : x
  2. Step 2: Convert to fraction form
    12,218.77/18,319.18 = 3,894/x
  3. Step 3: Cross multiply
    12,218.77x = 18,319.18 × 3,894
  4. Step 4: Simplify right side
    12,218.77x = 71,334,886.92
  5. Step 5: Solve for x
    x = 71,334,886.92/12,218.77
  6. Step 6: Final answer
    x = 5,838.14

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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.