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Finding the Fourth Proportional to 12,141.96, 16,754.42 and 7,037.45

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Solution

The fourth proportional to 12,141.96, 16,754.42 and 7,037.45 is: 9,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.96 : 16,754.42 = 7,037.45 : x
  2. Step 2: Convert to fraction form
    12,141.96/16,754.42 = 7,037.45/x
  3. Step 3: Cross multiply
    12,141.96x = 16,754.42 × 7,037.45
  4. Step 4: Simplify right side
    12,141.96x = 117,908,393.03
  5. Step 5: Solve for x
    x = 117,908,393.03/12,141.96
  6. Step 6: Final answer
    x = 9,710.82

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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.