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Finding the Fourth Proportional to 12,186.68, 18,281.95 and 5,166.72

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Solution

The fourth proportional to 12,186.68, 18,281.95 and 5,166.72 is: 7,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.68 : 18,281.95 = 5,166.72 : x
  2. Step 2: Convert to fraction form
    12,186.68/18,281.95 = 5,166.72/x
  3. Step 3: Cross multiply
    12,186.68x = 18,281.95 × 5,166.72
  4. Step 4: Simplify right side
    12,186.68x = 94,457,703.79
  5. Step 5: Solve for x
    x = 94,457,703.79/12,186.68
  6. Step 6: Final answer
    x = 7,750.90

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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.