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Finding the Fourth Proportional to 28,327.74, 42,453.32 and 10,788

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Solution

The fourth proportional to 28,327.74, 42,453.32 and 10,788 is: 16,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,327.74 : 42,453.32 = 10,788 : x
  2. Step 2: Convert to fraction form
    28,327.74/42,453.32 = 10,788/x
  3. Step 3: Cross multiply
    28,327.74x = 42,453.32 × 10,788
  4. Step 4: Simplify right side
    28,327.74x = 457,986,362.22
  5. Step 5: Solve for x
    x = 457,986,362.22/28,327.74
  6. Step 6: Final answer
    x = 16,167.42

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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.