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Finding the Fourth Proportional to 12,644.12, 17,430.74 and 9,950.66

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Solution

The fourth proportional to 12,644.12, 17,430.74 and 9,950.66 is: 13,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.12 : 17,430.74 = 9,950.66 : x
  2. Step 2: Convert to fraction form
    12,644.12/17,430.74 = 9,950.66/x
  3. Step 3: Cross multiply
    12,644.12x = 17,430.74 × 9,950.66
  4. Step 4: Simplify right side
    12,644.12x = 173,447,487.08
  5. Step 5: Solve for x
    x = 173,447,487.08/12,644.12
  6. Step 6: Final answer
    x = 13,717.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.