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Finding the Fourth Proportional to 13,002.56, 17,937.14 and 8,156.46

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Solution

The fourth proportional to 13,002.56, 17,937.14 and 8,156.46 is: 11,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.56 : 17,937.14 = 8,156.46 : x
  2. Step 2: Convert to fraction form
    13,002.56/17,937.14 = 8,156.46/x
  3. Step 3: Cross multiply
    13,002.56x = 17,937.14 × 8,156.46
  4. Step 4: Simplify right side
    13,002.56x = 146,303,524.14
  5. Step 5: Solve for x
    x = 146,303,524.14/13,002.56
  6. Step 6: Final answer
    x = 11,251.91

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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.