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Finding the Fourth Proportional to 22,656, 33,977.52 and 9,511.32

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Solution

The fourth proportional to 22,656, 33,977.52 and 9,511.32 is: 14,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656 : 33,977.52 = 9,511.32 : x
  2. Step 2: Convert to fraction form
    22,656/33,977.52 = 9,511.32/x
  3. Step 3: Cross multiply
    22,656x = 33,977.52 × 9,511.32
  4. Step 4: Simplify right side
    22,656x = 323,171,065.53
  5. Step 5: Solve for x
    x = 323,171,065.53/22,656
  6. Step 6: Final answer
    x = 14,264.26

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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.