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Finding the Fourth Proportional to 22,992.32, 31,730.34 and 12,920.73

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Solution

The fourth proportional to 22,992.32, 31,730.34 and 12,920.73 is: 17,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.32 : 31,730.34 = 12,920.73 : x
  2. Step 2: Convert to fraction form
    22,992.32/31,730.34 = 12,920.73/x
  3. Step 3: Cross multiply
    22,992.32x = 31,730.34 × 12,920.73
  4. Step 4: Simplify right side
    22,992.32x = 409,979,155.95
  5. Step 5: Solve for x
    x = 409,979,155.95/22,992.32
  6. Step 6: Final answer
    x = 17,831.13

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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.