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Finding the Fourth Proportional to 23,264.34, 32,104.73 and 13,706.17

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Solution

The fourth proportional to 23,264.34, 32,104.73 and 13,706.17 is: 18,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.34 : 32,104.73 = 13,706.17 : x
  2. Step 2: Convert to fraction form
    23,264.34/32,104.73 = 13,706.17/x
  3. Step 3: Cross multiply
    23,264.34x = 32,104.73 × 13,706.17
  4. Step 4: Simplify right side
    23,264.34x = 440,032,841.19
  5. Step 5: Solve for x
    x = 440,032,841.19/23,264.34
  6. Step 6: Final answer
    x = 18,914.48

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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.