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Finding the Fourth Proportional to 17,902.69, 24,709.32 and 10,349.33

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Solution

The fourth proportional to 17,902.69, 24,709.32 and 10,349.33 is: 14,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.69 : 24,709.32 = 10,349.33 : x
  2. Step 2: Convert to fraction form
    17,902.69/24,709.32 = 10,349.33/x
  3. Step 3: Cross multiply
    17,902.69x = 24,709.32 × 10,349.33
  4. Step 4: Simplify right side
    17,902.69x = 255,724,783.21
  5. Step 5: Solve for x
    x = 255,724,783.21/17,902.69
  6. Step 6: Final answer
    x = 14,284.16

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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.