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Finding the Fourth Proportional to 22,410.62, 33,607.94 and 7,415

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Solution

The fourth proportional to 22,410.62, 33,607.94 and 7,415 is: 11,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.62 : 33,607.94 = 7,415 : x
  2. Step 2: Convert to fraction form
    22,410.62/33,607.94 = 7,415/x
  3. Step 3: Cross multiply
    22,410.62x = 33,607.94 × 7,415
  4. Step 4: Simplify right side
    22,410.62x = 249,202,875.10
  5. Step 5: Solve for x
    x = 249,202,875.10/22,410.62
  6. Step 6: Final answer
    x = 11,119.86

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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.