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Finding the Fourth Proportional to 12,453.66, 18,671.07 and 7,522.14

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Solution

The fourth proportional to 12,453.66, 18,671.07 and 7,522.14 is: 11,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.66 : 18,671.07 = 7,522.14 : x
  2. Step 2: Convert to fraction form
    12,453.66/18,671.07 = 7,522.14/x
  3. Step 3: Cross multiply
    12,453.66x = 18,671.07 × 7,522.14
  4. Step 4: Simplify right side
    12,453.66x = 140,446,402.49
  5. Step 5: Solve for x
    x = 140,446,402.49/12,453.66
  6. Step 6: Final answer
    x = 11,277.52

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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.