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Finding the Fourth Proportional to 15,662.24, 23,503.84 and 5,801.61

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Solution

The fourth proportional to 15,662.24, 23,503.84 and 5,801.61 is: 8,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.24 : 23,503.84 = 5,801.61 : x
  2. Step 2: Convert to fraction form
    15,662.24/23,503.84 = 5,801.61/x
  3. Step 3: Cross multiply
    15,662.24x = 23,503.84 × 5,801.61
  4. Step 4: Simplify right side
    15,662.24x = 136,360,113.18
  5. Step 5: Solve for x
    x = 136,360,113.18/15,662.24
  6. Step 6: Final answer
    x = 8,706.30

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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.