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Finding the Fourth Proportional to 12,709.22, 17,538.23 and 7,331.87

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Solution

The fourth proportional to 12,709.22, 17,538.23 and 7,331.87 is: 10,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.22 : 17,538.23 = 7,331.87 : x
  2. Step 2: Convert to fraction form
    12,709.22/17,538.23 = 7,331.87/x
  3. Step 3: Cross multiply
    12,709.22x = 17,538.23 × 7,331.87
  4. Step 4: Simplify right side
    12,709.22x = 128,588,084.57
  5. Step 5: Solve for x
    x = 128,588,084.57/12,709.22
  6. Step 6: Final answer
    x = 10,117.70

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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.