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Finding the Fourth Proportional to 22,471.92, 31,005.86 and 14,512.77

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Solution

The fourth proportional to 22,471.92, 31,005.86 and 14,512.77 is: 20,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.92 : 31,005.86 = 14,512.77 : x
  2. Step 2: Convert to fraction form
    22,471.92/31,005.86 = 14,512.77/x
  3. Step 3: Cross multiply
    22,471.92x = 31,005.86 × 14,512.77
  4. Step 4: Simplify right side
    22,471.92x = 449,980,842.27
  5. Step 5: Solve for x
    x = 449,980,842.27/22,471.92
  6. Step 6: Final answer
    x = 20,024.14

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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.