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Finding the Fourth Proportional to 22,648.10, 33,985.38 and 9,499.38

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Solution

The fourth proportional to 22,648.10, 33,985.38 and 9,499.38 is: 14,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.10 : 33,985.38 = 9,499.38 : x
  2. Step 2: Convert to fraction form
    22,648.10/33,985.38 = 9,499.38/x
  3. Step 3: Cross multiply
    22,648.10x = 33,985.38 × 9,499.38
  4. Step 4: Simplify right side
    22,648.10x = 322,840,039.06
  5. Step 5: Solve for x
    x = 322,840,039.06/22,648.10
  6. Step 6: Final answer
    x = 14,254.62

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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.