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Finding the Fourth Proportional to 12,072.32, 16,665.25 and 7,602.63

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Solution

The fourth proportional to 12,072.32, 16,665.25 and 7,602.63 is: 10,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.32 : 16,665.25 = 7,602.63 : x
  2. Step 2: Convert to fraction form
    12,072.32/16,665.25 = 7,602.63/x
  3. Step 3: Cross multiply
    12,072.32x = 16,665.25 × 7,602.63
  4. Step 4: Simplify right side
    12,072.32x = 126,699,729.61
  5. Step 5: Solve for x
    x = 126,699,729.61/12,072.32
  6. Step 6: Final answer
    x = 10,495.06

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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.