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Finding the Fourth Proportional to 14,708, 20,297.36 and 8,084

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Solution

The fourth proportional to 14,708, 20,297.36 and 8,084 is: 11,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708 : 20,297.36 = 8,084 : x
  2. Step 2: Convert to fraction form
    14,708/20,297.36 = 8,084/x
  3. Step 3: Cross multiply
    14,708x = 20,297.36 × 8,084
  4. Step 4: Simplify right side
    14,708x = 164,083,858.24
  5. Step 5: Solve for x
    x = 164,083,858.24/14,708
  6. Step 6: Final answer
    x = 11,156.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.