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Finding the Fourth Proportional to 15,737.26, 23,594.10 and 9,495.80

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Solution

The fourth proportional to 15,737.26, 23,594.10 and 9,495.80 is: 14,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.26 : 23,594.10 = 9,495.80 : x
  2. Step 2: Convert to fraction form
    15,737.26/23,594.10 = 9,495.80/x
  3. Step 3: Cross multiply
    15,737.26x = 23,594.10 × 9,495.80
  4. Step 4: Simplify right side
    15,737.26x = 224,044,689.33
  5. Step 5: Solve for x
    x = 224,044,689.33/15,737.26
  6. Step 6: Final answer
    x = 14,236.58

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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.