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Finding the Fourth Proportional to 22,652.64, 31,224 and 16,900.32

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Solution

The fourth proportional to 22,652.64, 31,224 and 16,900.32 is: 23,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.64 : 31,224 = 16,900.32 : x
  2. Step 2: Convert to fraction form
    22,652.64/31,224 = 16,900.32/x
  3. Step 3: Cross multiply
    22,652.64x = 31,224 × 16,900.32
  4. Step 4: Simplify right side
    22,652.64x = 527,695,591.68
  5. Step 5: Solve for x
    x = 527,695,591.68/22,652.64
  6. Step 6: Final answer
    x = 23,295.10

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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.