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Finding the Fourth Proportional to 21,152.52, 31,706.46 and 7,099.23

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Solution

The fourth proportional to 21,152.52, 31,706.46 and 7,099.23 is: 10,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.52 : 31,706.46 = 7,099.23 : x
  2. Step 2: Convert to fraction form
    21,152.52/31,706.46 = 7,099.23/x
  3. Step 3: Cross multiply
    21,152.52x = 31,706.46 × 7,099.23
  4. Step 4: Simplify right side
    21,152.52x = 225,091,452.03
  5. Step 5: Solve for x
    x = 225,091,452.03/21,152.52
  6. Step 6: Final answer
    x = 10,641.35

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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.