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Finding the Fourth Proportional to 18,384.18, 27,581.14 and 9,616.74

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Solution

The fourth proportional to 18,384.18, 27,581.14 and 9,616.74 is: 14,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.18 : 27,581.14 = 9,616.74 : x
  2. Step 2: Convert to fraction form
    18,384.18/27,581.14 = 9,616.74/x
  3. Step 3: Cross multiply
    18,384.18x = 27,581.14 × 9,616.74
  4. Step 4: Simplify right side
    18,384.18x = 265,240,652.28
  5. Step 5: Solve for x
    x = 265,240,652.28/18,384.18
  6. Step 6: Final answer
    x = 14,427.66

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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.