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Finding the Fourth Proportional to 15,698.62, 23,524.88 and 7,896.70

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Solution

The fourth proportional to 15,698.62, 23,524.88 and 7,896.70 is: 11,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.62 : 23,524.88 = 7,896.70 : x
  2. Step 2: Convert to fraction form
    15,698.62/23,524.88 = 7,896.70/x
  3. Step 3: Cross multiply
    15,698.62x = 23,524.88 × 7,896.70
  4. Step 4: Simplify right side
    15,698.62x = 185,768,802.27
  5. Step 5: Solve for x
    x = 185,768,802.27/15,698.62
  6. Step 6: Final answer
    x = 11,833.45

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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.