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Finding the Fourth Proportional to 22,184.78, 30,607.64 and 14,634.86

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Solution

The fourth proportional to 22,184.78, 30,607.64 and 14,634.86 is: 20,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.78 : 30,607.64 = 14,634.86 : x
  2. Step 2: Convert to fraction form
    22,184.78/30,607.64 = 14,634.86/x
  3. Step 3: Cross multiply
    22,184.78x = 30,607.64 × 14,634.86
  4. Step 4: Simplify right side
    22,184.78x = 447,938,526.33
  5. Step 5: Solve for x
    x = 447,938,526.33/22,184.78
  6. Step 6: Final answer
    x = 20,191.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.