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Finding the Fourth Proportional to 14,842.97, 22,265.14 and 8,264.21

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Solution

The fourth proportional to 14,842.97, 22,265.14 and 8,264.21 is: 12,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.97 : 22,265.14 = 8,264.21 : x
  2. Step 2: Convert to fraction form
    14,842.97/22,265.14 = 8,264.21/x
  3. Step 3: Cross multiply
    14,842.97x = 22,265.14 × 8,264.21
  4. Step 4: Simplify right side
    14,842.97x = 184,003,681.31
  5. Step 5: Solve for x
    x = 184,003,681.31/14,842.97
  6. Step 6: Final answer
    x = 12,396.69

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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.