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Finding the Fourth Proportional to 12,577.46, 17,358.43 and 7,201.90

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Solution

The fourth proportional to 12,577.46, 17,358.43 and 7,201.90 is: 9,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.46 : 17,358.43 = 7,201.90 : x
  2. Step 2: Convert to fraction form
    12,577.46/17,358.43 = 7,201.90/x
  3. Step 3: Cross multiply
    12,577.46x = 17,358.43 × 7,201.90
  4. Step 4: Simplify right side
    12,577.46x = 125,013,677.02
  5. Step 5: Solve for x
    x = 125,013,677.02/12,577.46
  6. Step 6: Final answer
    x = 9,939.50

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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.