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Finding the Fourth Proportional to 22,188.74, 33,273.86 and 9,032.18

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Solution

The fourth proportional to 22,188.74, 33,273.86 and 9,032.18 is: 13,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188.74 : 33,273.86 = 9,032.18 : x
  2. Step 2: Convert to fraction form
    22,188.74/33,273.86 = 9,032.18/x
  3. Step 3: Cross multiply
    22,188.74x = 33,273.86 × 9,032.18
  4. Step 4: Simplify right side
    22,188.74x = 300,535,492.81
  5. Step 5: Solve for x
    x = 300,535,492.81/22,188.74
  6. Step 6: Final answer
    x = 13,544.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.