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Finding the Fourth Proportional to 12,466.53, 18,697.77 and 4,146.66

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Solution

The fourth proportional to 12,466.53, 18,697.77 and 4,146.66 is: 6,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.53 : 18,697.77 = 4,146.66 : x
  2. Step 2: Convert to fraction form
    12,466.53/18,697.77 = 4,146.66/x
  3. Step 3: Cross multiply
    12,466.53x = 18,697.77 × 4,146.66
  4. Step 4: Simplify right side
    12,466.53x = 77,533,294.95
  5. Step 5: Solve for x
    x = 77,533,294.95/12,466.53
  6. Step 6: Final answer
    x = 6,219.32

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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.