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Finding the Fourth Proportional to 22,575.41, 31,157.57 and 12,884.87

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Solution

The fourth proportional to 22,575.41, 31,157.57 and 12,884.87 is: 17,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.41 : 31,157.57 = 12,884.87 : x
  2. Step 2: Convert to fraction form
    22,575.41/31,157.57 = 12,884.87/x
  3. Step 3: Cross multiply
    22,575.41x = 31,157.57 × 12,884.87
  4. Step 4: Simplify right side
    22,575.41x = 401,461,291.38
  5. Step 5: Solve for x
    x = 401,461,291.38/22,575.41
  6. Step 6: Final answer
    x = 17,783.12

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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.