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Finding the Fourth Proportional to 21,746.46, 32,618.67 and 7,706.26

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Solution

The fourth proportional to 21,746.46, 32,618.67 and 7,706.26 is: 11,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.46 : 32,618.67 = 7,706.26 : x
  2. Step 2: Convert to fraction form
    21,746.46/32,618.67 = 7,706.26/x
  3. Step 3: Cross multiply
    21,746.46x = 32,618.67 × 7,706.26
  4. Step 4: Simplify right side
    21,746.46x = 251,367,963.75
  5. Step 5: Solve for x
    x = 251,367,963.75/21,746.46
  6. Step 6: Final answer
    x = 11,559.03

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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.