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Finding the Fourth Proportional to 12,437.66, 18,652.01 and 4,116.14

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Solution

The fourth proportional to 12,437.66, 18,652.01 and 4,116.14 is: 6,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.66 : 18,652.01 = 4,116.14 : x
  2. Step 2: Convert to fraction form
    12,437.66/18,652.01 = 4,116.14/x
  3. Step 3: Cross multiply
    12,437.66x = 18,652.01 × 4,116.14
  4. Step 4: Simplify right side
    12,437.66x = 76,774,284.44
  5. Step 5: Solve for x
    x = 76,774,284.44/12,437.66
  6. Step 6: Final answer
    x = 6,172.73

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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.