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Finding the Fourth Proportional to 22,960.76, 31,685.84 and 13,024.76

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Solution

The fourth proportional to 22,960.76, 31,685.84 and 13,024.76 is: 17,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.76 : 31,685.84 = 13,024.76 : x
  2. Step 2: Convert to fraction form
    22,960.76/31,685.84 = 13,024.76/x
  3. Step 3: Cross multiply
    22,960.76x = 31,685.84 × 13,024.76
  4. Step 4: Simplify right side
    22,960.76x = 412,700,461.40
  5. Step 5: Solve for x
    x = 412,700,461.40/22,960.76
  6. Step 6: Final answer
    x = 17,974.16

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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.