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Finding the Fourth Proportional to 12,630.46, 17,431.66 and 10,502.33

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Solution

The fourth proportional to 12,630.46, 17,431.66 and 10,502.33 is: 14,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,630.46 : 17,431.66 = 10,502.33 : x
  2. Step 2: Convert to fraction form
    12,630.46/17,431.66 = 10,502.33/x
  3. Step 3: Cross multiply
    12,630.46x = 17,431.66 × 10,502.33
  4. Step 4: Simplify right side
    12,630.46x = 183,073,148.35
  5. Step 5: Solve for x
    x = 183,073,148.35/12,630.46
  6. Step 6: Final answer
    x = 14,494.57

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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.