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Finding the Fourth Proportional to 11,455.14, 15,770.03 and 10,274.16

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Solution

The fourth proportional to 11,455.14, 15,770.03 and 10,274.16 is: 14,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.14 : 15,770.03 = 10,274.16 : x
  2. Step 2: Convert to fraction form
    11,455.14/15,770.03 = 10,274.16/x
  3. Step 3: Cross multiply
    11,455.14x = 15,770.03 × 10,274.16
  4. Step 4: Simplify right side
    11,455.14x = 162,023,758.26
  5. Step 5: Solve for x
    x = 162,023,758.26/11,455.14
  6. Step 6: Final answer
    x = 14,144.20

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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.