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Finding the Fourth Proportional to 25,471.48, 38,217 and 12,322.84

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Solution

The fourth proportional to 25,471.48, 38,217 and 12,322.84 is: 18,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.48 : 38,217 = 12,322.84 : x
  2. Step 2: Convert to fraction form
    25,471.48/38,217 = 12,322.84/x
  3. Step 3: Cross multiply
    25,471.48x = 38,217 × 12,322.84
  4. Step 4: Simplify right side
    25,471.48x = 470,941,976.28
  5. Step 5: Solve for x
    x = 470,941,976.28/25,471.48
  6. Step 6: Final answer
    x = 18,488.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.