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Finding the Fourth Proportional to 22,547.75, 33,829.39 and 10,076.38

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Solution

The fourth proportional to 22,547.75, 33,829.39 and 10,076.38 is: 15,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.75 : 33,829.39 = 10,076.38 : x
  2. Step 2: Convert to fraction form
    22,547.75/33,829.39 = 10,076.38/x
  3. Step 3: Cross multiply
    22,547.75x = 33,829.39 × 10,076.38
  4. Step 4: Simplify right side
    22,547.75x = 340,877,679.04
  5. Step 5: Solve for x
    x = 340,877,679.04/22,547.75
  6. Step 6: Final answer
    x = 15,118.04

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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.