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Finding the Fourth Proportional to 15,297.34, 22,946.86 and 4,203.78

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Solution

The fourth proportional to 15,297.34, 22,946.86 and 4,203.78 is: 6,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.34 : 22,946.86 = 4,203.78 : x
  2. Step 2: Convert to fraction form
    15,297.34/22,946.86 = 4,203.78/x
  3. Step 3: Cross multiply
    15,297.34x = 22,946.86 × 4,203.78
  4. Step 4: Simplify right side
    15,297.34x = 96,463,540.62
  5. Step 5: Solve for x
    x = 96,463,540.62/15,297.34
  6. Step 6: Final answer
    x = 6,305.90

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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.