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Finding the Fourth Proportional to 15,242.34, 22,801.14 and 11,516.88

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Solution

The fourth proportional to 15,242.34, 22,801.14 and 11,516.88 is: 17,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.34 : 22,801.14 = 11,516.88 : x
  2. Step 2: Convert to fraction form
    15,242.34/22,801.14 = 11,516.88/x
  3. Step 3: Cross multiply
    15,242.34x = 22,801.14 × 11,516.88
  4. Step 4: Simplify right side
    15,242.34x = 262,597,993.24
  5. Step 5: Solve for x
    x = 262,597,993.24/15,242.34
  6. Step 6: Final answer
    x = 17,228.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.