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Finding the Fourth Proportional to 12,346.13, 17,037.60 and 11,342

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Solution

The fourth proportional to 12,346.13, 17,037.60 and 11,342 is: 15,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.13 : 17,037.60 = 11,342 : x
  2. Step 2: Convert to fraction form
    12,346.13/17,037.60 = 11,342/x
  3. Step 3: Cross multiply
    12,346.13x = 17,037.60 × 11,342
  4. Step 4: Simplify right side
    12,346.13x = 193,240,459.20
  5. Step 5: Solve for x
    x = 193,240,459.20/12,346.13
  6. Step 6: Final answer
    x = 15,651.91

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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.