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Finding the Fourth Proportional to 17,826.56, 24,591.12 and 11,528

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Solution

The fourth proportional to 17,826.56, 24,591.12 and 11,528 is: 15,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.56 : 24,591.12 = 11,528 : x
  2. Step 2: Convert to fraction form
    17,826.56/24,591.12 = 11,528/x
  3. Step 3: Cross multiply
    17,826.56x = 24,591.12 × 11,528
  4. Step 4: Simplify right side
    17,826.56x = 283,486,431.36
  5. Step 5: Solve for x
    x = 283,486,431.36/17,826.56
  6. Step 6: Final answer
    x = 15,902.48

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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.