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Finding the Fourth Proportional to 17,569.08, 24,242.94 and 10,494

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Solution

The fourth proportional to 17,569.08, 24,242.94 and 10,494 is: 14,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.08 : 24,242.94 = 10,494 : x
  2. Step 2: Convert to fraction form
    17,569.08/24,242.94 = 10,494/x
  3. Step 3: Cross multiply
    17,569.08x = 24,242.94 × 10,494
  4. Step 4: Simplify right side
    17,569.08x = 254,405,412.36
  5. Step 5: Solve for x
    x = 254,405,412.36/17,569.08
  6. Step 6: Final answer
    x = 14,480.29

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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.