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Finding the Fourth Proportional to 22,993.74, 31,724.82 and 12,921.12

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Solution

The fourth proportional to 22,993.74, 31,724.82 and 12,921.12 is: 17,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.74 : 31,724.82 = 12,921.12 : x
  2. Step 2: Convert to fraction form
    22,993.74/31,724.82 = 12,921.12/x
  3. Step 3: Cross multiply
    22,993.74x = 31,724.82 × 12,921.12
  4. Step 4: Simplify right side
    22,993.74x = 409,920,206.20
  5. Step 5: Solve for x
    x = 409,920,206.20/22,993.74
  6. Step 6: Final answer
    x = 17,827.47

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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.