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Finding the Fourth Proportional to 12,124.05, 18,186 and 3,118.13

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Solution

The fourth proportional to 12,124.05, 18,186 and 3,118.13 is: 4,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.05 : 18,186 = 3,118.13 : x
  2. Step 2: Convert to fraction form
    12,124.05/18,186 = 3,118.13/x
  3. Step 3: Cross multiply
    12,124.05x = 18,186 × 3,118.13
  4. Step 4: Simplify right side
    12,124.05x = 56,706,312.18
  5. Step 5: Solve for x
    x = 56,706,312.18/12,124.05
  6. Step 6: Final answer
    x = 4,677.18

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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.