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Finding the Fourth Proportional to 22,836.48, 31,513.68 and 12,764.94

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Solution

The fourth proportional to 22,836.48, 31,513.68 and 12,764.94 is: 17,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836.48 : 31,513.68 = 12,764.94 : x
  2. Step 2: Convert to fraction form
    22,836.48/31,513.68 = 12,764.94/x
  3. Step 3: Cross multiply
    22,836.48x = 31,513.68 × 12,764.94
  4. Step 4: Simplify right side
    22,836.48x = 402,270,234.38
  5. Step 5: Solve for x
    x = 402,270,234.38/22,836.48
  6. Step 6: Final answer
    x = 17,615.25

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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.