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Finding the Fourth Proportional to 12,386.66, 18,567 and 4,064.54

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Solution

The fourth proportional to 12,386.66, 18,567 and 4,064.54 is: 6,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.66 : 18,567 = 4,064.54 : x
  2. Step 2: Convert to fraction form
    12,386.66/18,567 = 4,064.54/x
  3. Step 3: Cross multiply
    12,386.66x = 18,567 × 4,064.54
  4. Step 4: Simplify right side
    12,386.66x = 75,466,314.18
  5. Step 5: Solve for x
    x = 75,466,314.18/12,386.66
  6. Step 6: Final answer
    x = 6,092.55

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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.