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Finding the Fourth Proportional to 17,706.29, 24,409.01 and 12,384.59

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Solution

The fourth proportional to 17,706.29, 24,409.01 and 12,384.59 is: 17,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.29 : 24,409.01 = 12,384.59 : x
  2. Step 2: Convert to fraction form
    17,706.29/24,409.01 = 12,384.59/x
  3. Step 3: Cross multiply
    17,706.29x = 24,409.01 × 12,384.59
  4. Step 4: Simplify right side
    17,706.29x = 302,295,490.07
  5. Step 5: Solve for x
    x = 302,295,490.07/17,706.29
  6. Step 6: Final answer
    x = 17,072.78

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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.