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Finding the Fourth Proportional to 22,270.84, 33,407.64 and 7,478.56

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Solution

The fourth proportional to 22,270.84, 33,407.64 and 7,478.56 is: 11,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.84 : 33,407.64 = 7,478.56 : x
  2. Step 2: Convert to fraction form
    22,270.84/33,407.64 = 7,478.56/x
  3. Step 3: Cross multiply
    22,270.84x = 33,407.64 × 7,478.56
  4. Step 4: Simplify right side
    22,270.84x = 249,841,040.20
  5. Step 5: Solve for x
    x = 249,841,040.20/22,270.84
  6. Step 6: Final answer
    x = 11,218.30

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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.