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Finding the Fourth Proportional to 21,706.34, 32,522.38 and 11,852.56

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Solution

The fourth proportional to 21,706.34, 32,522.38 and 11,852.56 is: 17,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.34 : 32,522.38 = 11,852.56 : x
  2. Step 2: Convert to fraction form
    21,706.34/32,522.38 = 11,852.56/x
  3. Step 3: Cross multiply
    21,706.34x = 32,522.38 × 11,852.56
  4. Step 4: Simplify right side
    21,706.34x = 385,473,460.29
  5. Step 5: Solve for x
    x = 385,473,460.29/21,706.34
  6. Step 6: Final answer
    x = 17,758.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.