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Finding the Fourth Proportional to 25,716.48, 38,574.72 and 16,488.96

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Solution

The fourth proportional to 25,716.48, 38,574.72 and 16,488.96 is: 24,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.48 : 38,574.72 = 16,488.96 : x
  2. Step 2: Convert to fraction form
    25,716.48/38,574.72 = 16,488.96/x
  3. Step 3: Cross multiply
    25,716.48x = 38,574.72 × 16,488.96
  4. Step 4: Simplify right side
    25,716.48x = 636,057,015.09
  5. Step 5: Solve for x
    x = 636,057,015.09/25,716.48
  6. Step 6: Final answer
    x = 24,733.44

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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.