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Finding the Fourth Proportional to 15,803.98, 23,698.44 and 4,706.78

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Solution

The fourth proportional to 15,803.98, 23,698.44 and 4,706.78 is: 7,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.98 : 23,698.44 = 4,706.78 : x
  2. Step 2: Convert to fraction form
    15,803.98/23,698.44 = 4,706.78/x
  3. Step 3: Cross multiply
    15,803.98x = 23,698.44 × 4,706.78
  4. Step 4: Simplify right side
    15,803.98x = 111,543,224.93
  5. Step 5: Solve for x
    x = 111,543,224.93/15,803.98
  6. Step 6: Final answer
    x = 7,057.92

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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.