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Finding the Fourth Proportional to 22,516.62, 31,077.93 and 13,090.62

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Solution

The fourth proportional to 22,516.62, 31,077.93 and 13,090.62 is: 18,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.62 : 31,077.93 = 13,090.62 : x
  2. Step 2: Convert to fraction form
    22,516.62/31,077.93 = 13,090.62/x
  3. Step 3: Cross multiply
    22,516.62x = 31,077.93 × 13,090.62
  4. Step 4: Simplify right side
    22,516.62x = 406,829,372.02
  5. Step 5: Solve for x
    x = 406,829,372.02/22,516.62
  6. Step 6: Final answer
    x = 18,067.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.