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Finding the Fourth Proportional to 12,865.14, 17,754.18 and 9,094.95

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Solution

The fourth proportional to 12,865.14, 17,754.18 and 9,094.95 is: 12,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.14 : 17,754.18 = 9,094.95 : x
  2. Step 2: Convert to fraction form
    12,865.14/17,754.18 = 9,094.95/x
  3. Step 3: Cross multiply
    12,865.14x = 17,754.18 × 9,094.95
  4. Step 4: Simplify right side
    12,865.14x = 161,473,345.28
  5. Step 5: Solve for x
    x = 161,473,345.28/12,865.14
  6. Step 6: Final answer
    x = 12,551.23

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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.