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Finding the Fourth Proportional to 22,656.42, 33,951.74 and 12,774.60

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Solution

The fourth proportional to 22,656.42, 33,951.74 and 12,774.60 is: 19,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.42 : 33,951.74 = 12,774.60 : x
  2. Step 2: Convert to fraction form
    22,656.42/33,951.74 = 12,774.60/x
  3. Step 3: Cross multiply
    22,656.42x = 33,951.74 × 12,774.60
  4. Step 4: Simplify right side
    22,656.42x = 433,719,897.80
  5. Step 5: Solve for x
    x = 433,719,897.80/22,656.42
  6. Step 6: Final answer
    x = 19,143.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.