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Finding the Fourth Proportional to 13,207.74, 18,225.64 and 7,617.66

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Solution

The fourth proportional to 13,207.74, 18,225.64 and 7,617.66 is: 10,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.74 : 18,225.64 = 7,617.66 : x
  2. Step 2: Convert to fraction form
    13,207.74/18,225.64 = 7,617.66/x
  3. Step 3: Cross multiply
    13,207.74x = 18,225.64 × 7,617.66
  4. Step 4: Simplify right side
    13,207.74x = 138,836,728.80
  5. Step 5: Solve for x
    x = 138,836,728.80/13,207.74
  6. Step 6: Final answer
    x = 10,511.77

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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.