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Finding the Fourth Proportional to 21,906.23, 32,860.51 and 7,114.05

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Solution

The fourth proportional to 21,906.23, 32,860.51 and 7,114.05 is: 10,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.23 : 32,860.51 = 7,114.05 : x
  2. Step 2: Convert to fraction form
    21,906.23/32,860.51 = 7,114.05/x
  3. Step 3: Cross multiply
    21,906.23x = 32,860.51 × 7,114.05
  4. Step 4: Simplify right side
    21,906.23x = 233,771,293.38
  5. Step 5: Solve for x
    x = 233,771,293.38/21,906.23
  6. Step 6: Final answer
    x = 10,671.45

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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.