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Finding the Fourth Proportional to 15,854.40, 23,737.86 and 8,024.94

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Solution

The fourth proportional to 15,854.40, 23,737.86 and 8,024.94 is: 12,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.40 : 23,737.86 = 8,024.94 : x
  2. Step 2: Convert to fraction form
    15,854.40/23,737.86 = 8,024.94/x
  3. Step 3: Cross multiply
    15,854.40x = 23,737.86 × 8,024.94
  4. Step 4: Simplify right side
    15,854.40x = 190,494,902.23
  5. Step 5: Solve for x
    x = 190,494,902.23/15,854.40
  6. Step 6: Final answer
    x = 12,015.27

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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.