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Finding the Fourth Proportional to 12,407.66, 17,125.28 and 7,631.70

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Solution

The fourth proportional to 12,407.66, 17,125.28 and 7,631.70 is: 10,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.66 : 17,125.28 = 7,631.70 : x
  2. Step 2: Convert to fraction form
    12,407.66/17,125.28 = 7,631.70/x
  3. Step 3: Cross multiply
    12,407.66x = 17,125.28 × 7,631.70
  4. Step 4: Simplify right side
    12,407.66x = 130,694,961.22
  5. Step 5: Solve for x
    x = 130,694,961.22/12,407.66
  6. Step 6: Final answer
    x = 10,533.41

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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.