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Finding the Fourth Proportional to 17,608.28, 24,299.70 and 10,535

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Solution

The fourth proportional to 17,608.28, 24,299.70 and 10,535 is: 14,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.28 : 24,299.70 = 10,535 : x
  2. Step 2: Convert to fraction form
    17,608.28/24,299.70 = 10,535/x
  3. Step 3: Cross multiply
    17,608.28x = 24,299.70 × 10,535
  4. Step 4: Simplify right side
    17,608.28x = 255,997,339.50
  5. Step 5: Solve for x
    x = 255,997,339.50/17,608.28
  6. Step 6: Final answer
    x = 14,538.46

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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.