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Finding the Fourth Proportional to 17,530.68, 24,194.24 and 10,816.13

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Solution

The fourth proportional to 17,530.68, 24,194.24 and 10,816.13 is: 14,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.68 : 24,194.24 = 10,816.13 : x
  2. Step 2: Convert to fraction form
    17,530.68/24,194.24 = 10,816.13/x
  3. Step 3: Cross multiply
    17,530.68x = 24,194.24 × 10,816.13
  4. Step 4: Simplify right side
    17,530.68x = 261,688,045.09
  5. Step 5: Solve for x
    x = 261,688,045.09/17,530.68
  6. Step 6: Final answer
    x = 14,927.43

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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.