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Finding the Fourth Proportional to 15,833.20, 23,737.80 and 8,047.60

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Solution

The fourth proportional to 15,833.20, 23,737.80 and 8,047.60 is: 12,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.20 : 23,737.80 = 8,047.60 : x
  2. Step 2: Convert to fraction form
    15,833.20/23,737.80 = 8,047.60/x
  3. Step 3: Cross multiply
    15,833.20x = 23,737.80 × 8,047.60
  4. Step 4: Simplify right side
    15,833.20x = 191,032,319.28
  5. Step 5: Solve for x
    x = 191,032,319.28/15,833.20
  6. Step 6: Final answer
    x = 12,065.30

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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.