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Finding the Fourth Proportional to 22,357.89, 33,543.86 and 9,216.45

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Solution

The fourth proportional to 22,357.89, 33,543.86 and 9,216.45 is: 13,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.89 : 33,543.86 = 9,216.45 : x
  2. Step 2: Convert to fraction form
    22,357.89/33,543.86 = 9,216.45/x
  3. Step 3: Cross multiply
    22,357.89x = 33,543.86 × 9,216.45
  4. Step 4: Simplify right side
    22,357.89x = 309,155,262.41
  5. Step 5: Solve for x
    x = 309,155,262.41/22,357.89
  6. Step 6: Final answer
    x = 13,827.57

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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.