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Finding the Fourth Proportional to 22,963.76, 31,689.98 and 13,027.76

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Solution

The fourth proportional to 22,963.76, 31,689.98 and 13,027.76 is: 17,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.76 : 31,689.98 = 13,027.76 : x
  2. Step 2: Convert to fraction form
    22,963.76/31,689.98 = 13,027.76/x
  3. Step 3: Cross multiply
    22,963.76x = 31,689.98 × 13,027.76
  4. Step 4: Simplify right side
    22,963.76x = 412,849,453.84
  5. Step 5: Solve for x
    x = 412,849,453.84/22,963.76
  6. Step 6: Final answer
    x = 17,978.30

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1.5x scale

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.