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Finding the Fourth Proportional to 22,253.84, 33,384 and 7,459.44

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Solution

The fourth proportional to 22,253.84, 33,384 and 7,459.44 is: 11,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.84 : 33,384 = 7,459.44 : x
  2. Step 2: Convert to fraction form
    22,253.84/33,384 = 7,459.44/x
  3. Step 3: Cross multiply
    22,253.84x = 33,384 × 7,459.44
  4. Step 4: Simplify right side
    22,253.84x = 249,025,944.96
  5. Step 5: Solve for x
    x = 249,025,944.96/22,253.84
  6. Step 6: Final answer
    x = 11,190.25

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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.