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Finding the Fourth Proportional to 12,258.73, 18,384.32 and 6,412.15

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Solution

The fourth proportional to 12,258.73, 18,384.32 and 6,412.15 is: 9,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.73 : 18,384.32 = 6,412.15 : x
  2. Step 2: Convert to fraction form
    12,258.73/18,384.32 = 6,412.15/x
  3. Step 3: Cross multiply
    12,258.73x = 18,384.32 × 6,412.15
  4. Step 4: Simplify right side
    12,258.73x = 117,882,985.43
  5. Step 5: Solve for x
    x = 117,882,985.43/12,258.73
  6. Step 6: Final answer
    x = 9,616.25

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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.