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Finding the Fourth Proportional to 12,184.46, 18,283.98 and 5,258.96

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Solution

The fourth proportional to 12,184.46, 18,283.98 and 5,258.96 is: 7,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.46 : 18,283.98 = 5,258.96 : x
  2. Step 2: Convert to fraction form
    12,184.46/18,283.98 = 5,258.96/x
  3. Step 3: Cross multiply
    12,184.46x = 18,283.98 × 5,258.96
  4. Step 4: Simplify right side
    12,184.46x = 96,154,719.46
  5. Step 5: Solve for x
    x = 96,154,719.46/12,184.46
  6. Step 6: Final answer
    x = 7,891.59

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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.