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Finding the Fourth Proportional to 12,406.46, 17,123.63 and 7,630.52

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Solution

The fourth proportional to 12,406.46, 17,123.63 and 7,630.52 is: 10,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.46 : 17,123.63 = 7,630.52 : x
  2. Step 2: Convert to fraction form
    12,406.46/17,123.63 = 7,630.52/x
  3. Step 3: Cross multiply
    12,406.46x = 17,123.63 × 7,630.52
  4. Step 4: Simplify right side
    12,406.46x = 130,662,077.42
  5. Step 5: Solve for x
    x = 130,662,077.42/12,406.46
  6. Step 6: Final answer
    x = 10,531.78

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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.