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Finding the Fourth Proportional to 22,686.84, 33,985.98 and 12,796.20

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Solution

The fourth proportional to 22,686.84, 33,985.98 and 12,796.20 is: 19,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.84 : 33,985.98 = 12,796.20 : x
  2. Step 2: Convert to fraction form
    22,686.84/33,985.98 = 12,796.20/x
  3. Step 3: Cross multiply
    22,686.84x = 33,985.98 × 12,796.20
  4. Step 4: Simplify right side
    22,686.84x = 434,891,397.28
  5. Step 5: Solve for x
    x = 434,891,397.28/22,686.84
  6. Step 6: Final answer
    x = 19,169.32

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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.