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Finding the Fourth Proportional to 22,194, 33,307.40 and 10,507.22

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Solution

The fourth proportional to 22,194, 33,307.40 and 10,507.22 is: 15,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194 : 33,307.40 = 10,507.22 : x
  2. Step 2: Convert to fraction form
    22,194/33,307.40 = 10,507.22/x
  3. Step 3: Cross multiply
    22,194x = 33,307.40 × 10,507.22
  4. Step 4: Simplify right side
    22,194x = 349,968,164.06
  5. Step 5: Solve for x
    x = 349,968,164.06/22,194
  6. Step 6: Final answer
    x = 15,768.59

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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.