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Finding the Fourth Proportional to 12,264.77, 18,383.14 and 5,586.39

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Solution

The fourth proportional to 12,264.77, 18,383.14 and 5,586.39 is: 8,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.77 : 18,383.14 = 5,586.39 : x
  2. Step 2: Convert to fraction form
    12,264.77/18,383.14 = 5,586.39/x
  3. Step 3: Cross multiply
    12,264.77x = 18,383.14 × 5,586.39
  4. Step 4: Simplify right side
    12,264.77x = 102,695,389.46
  5. Step 5: Solve for x
    x = 102,695,389.46/12,264.77
  6. Step 6: Final answer
    x = 8,373.20

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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.