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Finding the Fourth Proportional to 22,543.59, 33,823.16 and 10,072.22

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Solution

The fourth proportional to 22,543.59, 33,823.16 and 10,072.22 is: 15,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.59 : 33,823.16 = 10,072.22 : x
  2. Step 2: Convert to fraction form
    22,543.59/33,823.16 = 10,072.22/x
  3. Step 3: Cross multiply
    22,543.59x = 33,823.16 × 10,072.22
  4. Step 4: Simplify right side
    22,543.59x = 340,674,342.81
  5. Step 5: Solve for x
    x = 340,674,342.81/22,543.59
  6. Step 6: Final answer
    x = 15,111.81

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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.