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Finding the Fourth Proportional to 12,601.46, 17,390.76 and 7,298.12

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Solution

The fourth proportional to 12,601.46, 17,390.76 and 7,298.12 is: 10,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.46 : 17,390.76 = 7,298.12 : x
  2. Step 2: Convert to fraction form
    12,601.46/17,390.76 = 7,298.12/x
  3. Step 3: Cross multiply
    12,601.46x = 17,390.76 × 7,298.12
  4. Step 4: Simplify right side
    12,601.46x = 126,919,853.37
  5. Step 5: Solve for x
    x = 126,919,853.37/12,601.46
  6. Step 6: Final answer
    x = 10,071.84

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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.