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Finding the Fourth Proportional to 12,346.92, 17,038.32 and 7,043.46

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Solution

The fourth proportional to 12,346.92, 17,038.32 and 7,043.46 is: 9,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.92 : 17,038.32 = 7,043.46 : x
  2. Step 2: Convert to fraction form
    12,346.92/17,038.32 = 7,043.46/x
  3. Step 3: Cross multiply
    12,346.92x = 17,038.32 × 7,043.46
  4. Step 4: Simplify right side
    12,346.92x = 120,008,725.39
  5. Step 5: Solve for x
    x = 120,008,725.39/12,346.92
  6. Step 6: Final answer
    x = 9,719.73

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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.