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Finding the Fourth Proportional to 14,954.82, 22,452.98 and 7,564.48

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Solution

The fourth proportional to 14,954.82, 22,452.98 and 7,564.48 is: 11,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.82 : 22,452.98 = 7,564.48 : x
  2. Step 2: Convert to fraction form
    14,954.82/22,452.98 = 7,564.48/x
  3. Step 3: Cross multiply
    14,954.82x = 22,452.98 × 7,564.48
  4. Step 4: Simplify right side
    14,954.82x = 169,845,118.15
  5. Step 5: Solve for x
    x = 169,845,118.15/14,954.82
  6. Step 6: Final answer
    x = 11,357.22

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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.