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Finding the Fourth Proportional to 22,563.76, 31,137.28 and 12,491.88

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Solution

The fourth proportional to 22,563.76, 31,137.28 and 12,491.88 is: 17,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.76 : 31,137.28 = 12,491.88 : x
  2. Step 2: Convert to fraction form
    22,563.76/31,137.28 = 12,491.88/x
  3. Step 3: Cross multiply
    22,563.76x = 31,137.28 × 12,491.88
  4. Step 4: Simplify right side
    22,563.76x = 388,963,165.29
  5. Step 5: Solve for x
    x = 388,963,165.29/22,563.76
  6. Step 6: Final answer
    x = 17,238.40

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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.