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Finding the Fourth Proportional to 22,527.63, 31,086.88 and 12,455.47

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Solution

The fourth proportional to 22,527.63, 31,086.88 and 12,455.47 is: 17,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.63 : 31,086.88 = 12,455.47 : x
  2. Step 2: Convert to fraction form
    22,527.63/31,086.88 = 12,455.47/x
  3. Step 3: Cross multiply
    22,527.63x = 31,086.88 × 12,455.47
  4. Step 4: Simplify right side
    22,527.63x = 387,201,592.38
  5. Step 5: Solve for x
    x = 387,201,592.38/22,527.63
  6. Step 6: Final answer
    x = 17,187.85

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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.