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Finding the Fourth Proportional to 22,571.84, 31,146.58 and 12,497.74

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Solution

The fourth proportional to 22,571.84, 31,146.58 and 12,497.74 is: 17,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.84 : 31,146.58 = 12,497.74 : x
  2. Step 2: Convert to fraction form
    22,571.84/31,146.58 = 12,497.74/x
  3. Step 3: Cross multiply
    22,571.84x = 31,146.58 × 12,497.74
  4. Step 4: Simplify right side
    22,571.84x = 389,261,901.38
  5. Step 5: Solve for x
    x = 389,261,901.38/22,571.84
  6. Step 6: Final answer
    x = 17,245.47

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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.