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Finding the Fourth Proportional to 12,341.62, 17,037.06 and 7,871.50

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Solution

The fourth proportional to 12,341.62, 17,037.06 and 7,871.50 is: 10,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.62 : 17,037.06 = 7,871.50 : x
  2. Step 2: Convert to fraction form
    12,341.62/17,037.06 = 7,871.50/x
  3. Step 3: Cross multiply
    12,341.62x = 17,037.06 × 7,871.50
  4. Step 4: Simplify right side
    12,341.62x = 134,107,217.79
  5. Step 5: Solve for x
    x = 134,107,217.79/12,341.62
  6. Step 6: Final answer
    x = 10,866.26

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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.