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Finding the Fourth Proportional to 17,624.94, 24,316.26 and 10,065.82

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Solution

The fourth proportional to 17,624.94, 24,316.26 and 10,065.82 is: 13,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.94 : 24,316.26 = 10,065.82 : x
  2. Step 2: Convert to fraction form
    17,624.94/24,316.26 = 10,065.82/x
  3. Step 3: Cross multiply
    17,624.94x = 24,316.26 × 10,065.82
  4. Step 4: Simplify right side
    17,624.94x = 244,763,096.23
  5. Step 5: Solve for x
    x = 244,763,096.23/17,624.94
  6. Step 6: Final answer
    x = 13,887.32

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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.