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Finding the Fourth Proportional to 12,074.64, 18,111.42 and 4,283.34

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Solution

The fourth proportional to 12,074.64, 18,111.42 and 4,283.34 is: 6,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.64 : 18,111.42 = 4,283.34 : x
  2. Step 2: Convert to fraction form
    12,074.64/18,111.42 = 4,283.34/x
  3. Step 3: Cross multiply
    12,074.64x = 18,111.42 × 4,283.34
  4. Step 4: Simplify right side
    12,074.64x = 77,577,369.74
  5. Step 5: Solve for x
    x = 77,577,369.74/12,074.64
  6. Step 6: Final answer
    x = 6,424.82

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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.