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Finding the Fourth Proportional to 23,008.68, 31,752.68 and 14,944.32

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Solution

The fourth proportional to 23,008.68, 31,752.68 and 14,944.32 is: 20,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008.68 : 31,752.68 = 14,944.32 : x
  2. Step 2: Convert to fraction form
    23,008.68/31,752.68 = 14,944.32/x
  3. Step 3: Cross multiply
    23,008.68x = 31,752.68 × 14,944.32
  4. Step 4: Simplify right side
    23,008.68x = 474,522,136.06
  5. Step 5: Solve for x
    x = 474,522,136.06/23,008.68
  6. Step 6: Final answer
    x = 20,623.61

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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.