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Finding the Fourth Proportional to 12,306.24, 18,417.36 and 7,629.24

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Solution

The fourth proportional to 12,306.24, 18,417.36 and 7,629.24 is: 11,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.24 : 18,417.36 = 7,629.24 : x
  2. Step 2: Convert to fraction form
    12,306.24/18,417.36 = 7,629.24/x
  3. Step 3: Cross multiply
    12,306.24x = 18,417.36 × 7,629.24
  4. Step 4: Simplify right side
    12,306.24x = 140,510,459.61
  5. Step 5: Solve for x
    x = 140,510,459.61/12,306.24
  6. Step 6: Final answer
    x = 11,417.82

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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.