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Finding the Fourth Proportional to 22,984.90, 31,723.29 and 13,552.90

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Solution

The fourth proportional to 22,984.90, 31,723.29 and 13,552.90 is: 18,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.90 : 31,723.29 = 13,552.90 : x
  2. Step 2: Convert to fraction form
    22,984.90/31,723.29 = 13,552.90/x
  3. Step 3: Cross multiply
    22,984.90x = 31,723.29 × 13,552.90
  4. Step 4: Simplify right side
    22,984.90x = 429,942,577.04
  5. Step 5: Solve for x
    x = 429,942,577.04/22,984.90
  6. Step 6: Final answer
    x = 18,705.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.