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Finding the Fourth Proportional to 22,489.95, 31,025.10 and 14,538.99

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Solution

The fourth proportional to 22,489.95, 31,025.10 and 14,538.99 is: 20,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.95 : 31,025.10 = 14,538.99 : x
  2. Step 2: Convert to fraction form
    22,489.95/31,025.10 = 14,538.99/x
  3. Step 3: Cross multiply
    22,489.95x = 31,025.10 × 14,538.99
  4. Step 4: Simplify right side
    22,489.95x = 451,073,618.65
  5. Step 5: Solve for x
    x = 451,073,618.65/22,489.95
  6. Step 6: Final answer
    x = 20,056.68

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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.