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Finding the Fourth Proportional to 22,185.72, 33,282.63 and 13,410.18

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Solution

The fourth proportional to 22,185.72, 33,282.63 and 13,410.18 is: 20,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.72 : 33,282.63 = 13,410.18 : x
  2. Step 2: Convert to fraction form
    22,185.72/33,282.63 = 13,410.18/x
  3. Step 3: Cross multiply
    22,185.72x = 33,282.63 × 13,410.18
  4. Step 4: Simplify right side
    22,185.72x = 446,326,059.17
  5. Step 5: Solve for x
    x = 446,326,059.17/22,185.72
  6. Step 6: Final answer
    x = 20,117.72

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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.