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Finding the Fourth Proportional to 22,937.42, 31,646.16 and 13,375.14

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Solution

The fourth proportional to 22,937.42, 31,646.16 and 13,375.14 is: 18,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.42 : 31,646.16 = 13,375.14 : x
  2. Step 2: Convert to fraction form
    22,937.42/31,646.16 = 13,375.14/x
  3. Step 3: Cross multiply
    22,937.42x = 31,646.16 × 13,375.14
  4. Step 4: Simplify right side
    22,937.42x = 423,271,820.46
  5. Step 5: Solve for x
    x = 423,271,820.46/22,937.42
  6. Step 6: Final answer
    x = 18,453.33

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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.