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Finding the Fourth Proportional to 22,400.01, 33,605.55 and 9,256.14

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Solution

The fourth proportional to 22,400.01, 33,605.55 and 9,256.14 is: 13,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.01 : 33,605.55 = 9,256.14 : x
  2. Step 2: Convert to fraction form
    22,400.01/33,605.55 = 9,256.14/x
  3. Step 3: Cross multiply
    22,400.01x = 33,605.55 × 9,256.14
  4. Step 4: Simplify right side
    22,400.01x = 311,057,675.58
  5. Step 5: Solve for x
    x = 311,057,675.58/22,400.01
  6. Step 6: Final answer
    x = 13,886.50

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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.