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Finding the Fourth Proportional to 17,522.92, 24,178.02 and 10,069.48

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Solution

The fourth proportional to 17,522.92, 24,178.02 and 10,069.48 is: 13,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.92 : 24,178.02 = 10,069.48 : x
  2. Step 2: Convert to fraction form
    17,522.92/24,178.02 = 10,069.48/x
  3. Step 3: Cross multiply
    17,522.92x = 24,178.02 × 10,069.48
  4. Step 4: Simplify right side
    17,522.92x = 243,460,088.83
  5. Step 5: Solve for x
    x = 243,460,088.83/17,522.92
  6. Step 6: Final answer
    x = 13,893.81

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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.