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Finding the Fourth Proportional to 28,214.34, 42,322.41 and 8,493.06

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Solution

The fourth proportional to 28,214.34, 42,322.41 and 8,493.06 is: 12,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.34 : 42,322.41 = 8,493.06 : x
  2. Step 2: Convert to fraction form
    28,214.34/42,322.41 = 8,493.06/x
  3. Step 3: Cross multiply
    28,214.34x = 42,322.41 × 8,493.06
  4. Step 4: Simplify right side
    28,214.34x = 359,446,767.47
  5. Step 5: Solve for x
    x = 359,446,767.47/28,214.34
  6. Step 6: Final answer
    x = 12,739.86

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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.