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Finding the Fourth Proportional to 22,935.34, 31,649.70 and 13,502.08

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Solution

The fourth proportional to 22,935.34, 31,649.70 and 13,502.08 is: 18,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.34 : 31,649.70 = 13,502.08 : x
  2. Step 2: Convert to fraction form
    22,935.34/31,649.70 = 13,502.08/x
  3. Step 3: Cross multiply
    22,935.34x = 31,649.70 × 13,502.08
  4. Step 4: Simplify right side
    22,935.34x = 427,336,781.38
  5. Step 5: Solve for x
    x = 427,336,781.38/22,935.34
  6. Step 6: Final answer
    x = 18,632.24

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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.