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Finding the Fourth Proportional to 22,261.60, 33,387 and 7,466.68

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Solution

The fourth proportional to 22,261.60, 33,387 and 7,466.68 is: 11,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.60 : 33,387 = 7,466.68 : x
  2. Step 2: Convert to fraction form
    22,261.60/33,387 = 7,466.68/x
  3. Step 3: Cross multiply
    22,261.60x = 33,387 × 7,466.68
  4. Step 4: Simplify right side
    22,261.60x = 249,290,045.16
  5. Step 5: Solve for x
    x = 249,290,045.16/22,261.60
  6. Step 6: Final answer
    x = 11,198.21

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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.