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Finding the Fourth Proportional to 22,606.17, 31,191.47 and 13,530.12

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Solution

The fourth proportional to 22,606.17, 31,191.47 and 13,530.12 is: 18,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.17 : 31,191.47 = 13,530.12 : x
  2. Step 2: Convert to fraction form
    22,606.17/31,191.47 = 13,530.12/x
  3. Step 3: Cross multiply
    22,606.17x = 31,191.47 × 13,530.12
  4. Step 4: Simplify right side
    22,606.17x = 422,024,264.43
  5. Step 5: Solve for x
    x = 422,024,264.43/22,606.17
  6. Step 6: Final answer
    x = 18,668.54

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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.