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Finding the Fourth Proportional to 14,921.50, 22,357.14 and 9,361.66

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Solution

The fourth proportional to 14,921.50, 22,357.14 and 9,361.66 is: 14,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.50 : 22,357.14 = 9,361.66 : x
  2. Step 2: Convert to fraction form
    14,921.50/22,357.14 = 9,361.66/x
  3. Step 3: Cross multiply
    14,921.50x = 22,357.14 × 9,361.66
  4. Step 4: Simplify right side
    14,921.50x = 209,299,943.25
  5. Step 5: Solve for x
    x = 209,299,943.25/14,921.50
  6. Step 6: Final answer
    x = 14,026.74

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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.