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Finding the Fourth Proportional to 22,566.76, 31,143.90 and 13,135.84

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Solution

The fourth proportional to 22,566.76, 31,143.90 and 13,135.84 is: 18,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566.76 : 31,143.90 = 13,135.84 : x
  2. Step 2: Convert to fraction form
    22,566.76/31,143.90 = 13,135.84/x
  3. Step 3: Cross multiply
    22,566.76x = 31,143.90 × 13,135.84
  4. Step 4: Simplify right side
    22,566.76x = 409,101,287.38
  5. Step 5: Solve for x
    x = 409,101,287.38/22,566.76
  6. Step 6: Final answer
    x = 18,128.49

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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.