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Finding the Fourth Proportional to 12,407.54, 17,125.11 and 7,631.59

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Solution

The fourth proportional to 12,407.54, 17,125.11 and 7,631.59 is: 10,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.54 : 17,125.11 = 7,631.59 : x
  2. Step 2: Convert to fraction form
    12,407.54/17,125.11 = 7,631.59/x
  3. Step 3: Cross multiply
    12,407.54x = 17,125.11 × 7,631.59
  4. Step 4: Simplify right side
    12,407.54x = 130,691,818.22
  5. Step 5: Solve for x
    x = 130,691,818.22/12,407.54
  6. Step 6: Final answer
    x = 10,533.26

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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.