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Finding the Fourth Proportional to 22,539.98, 33,801.32 and 7,746.14

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Solution

The fourth proportional to 22,539.98, 33,801.32 and 7,746.14 is: 11,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.98 : 33,801.32 = 7,746.14 : x
  2. Step 2: Convert to fraction form
    22,539.98/33,801.32 = 7,746.14/x
  3. Step 3: Cross multiply
    22,539.98x = 33,801.32 × 7,746.14
  4. Step 4: Simplify right side
    22,539.98x = 261,829,756.90
  5. Step 5: Solve for x
    x = 261,829,756.90/22,539.98
  6. Step 6: Final answer
    x = 11,616.24

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1.5x scale

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.