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Finding the Fourth Proportional to 22,617.36, 31,212.72 and 13,663.08

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Solution

The fourth proportional to 22,617.36, 31,212.72 and 13,663.08 is: 18,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.36 : 31,212.72 = 13,663.08 : x
  2. Step 2: Convert to fraction form
    22,617.36/31,212.72 = 13,663.08/x
  3. Step 3: Cross multiply
    22,617.36x = 31,212.72 × 13,663.08
  4. Step 4: Simplify right side
    22,617.36x = 426,461,890.38
  5. Step 5: Solve for x
    x = 426,461,890.38/22,617.36
  6. Step 6: Final answer
    x = 18,855.51

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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.