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Finding the Fourth Proportional to 22,282.94, 33,430.70 and 9,144.74

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Solution

The fourth proportional to 22,282.94, 33,430.70 and 9,144.74 is: 13,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.94 : 33,430.70 = 9,144.74 : x
  2. Step 2: Convert to fraction form
    22,282.94/33,430.70 = 9,144.74/x
  3. Step 3: Cross multiply
    22,282.94x = 33,430.70 × 9,144.74
  4. Step 4: Simplify right side
    22,282.94x = 305,714,915.23
  5. Step 5: Solve for x
    x = 305,714,915.23/22,282.94
  6. Step 6: Final answer
    x = 13,719.69

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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.