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Finding the Fourth Proportional to 12,331.60, 17,012.37 and 7,549.74

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Solution

The fourth proportional to 12,331.60, 17,012.37 and 7,549.74 is: 10,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.60 : 17,012.37 = 7,549.74 : x
  2. Step 2: Convert to fraction form
    12,331.60/17,012.37 = 7,549.74/x
  3. Step 3: Cross multiply
    12,331.60x = 17,012.37 × 7,549.74
  4. Step 4: Simplify right side
    12,331.60x = 128,438,970.28
  5. Step 5: Solve for x
    x = 128,438,970.28/12,331.60
  6. Step 6: Final answer
    x = 10,415.43

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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.