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Finding the Fourth Proportional to 15,471.68, 23,021.38 and 15,419.84

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Solution

The fourth proportional to 15,471.68, 23,021.38 and 15,419.84 is: 22,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.68 : 23,021.38 = 15,419.84 : x
  2. Step 2: Convert to fraction form
    15,471.68/23,021.38 = 15,419.84/x
  3. Step 3: Cross multiply
    15,471.68x = 23,021.38 × 15,419.84
  4. Step 4: Simplify right side
    15,471.68x = 354,985,996.18
  5. Step 5: Solve for x
    x = 354,985,996.18/15,471.68
  6. Step 6: Final answer
    x = 22,944.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.