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Finding the Fourth Proportional to 13,490.48, 20,219.16 and 7,652

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Solution

The fourth proportional to 13,490.48, 20,219.16 and 7,652 is: 11,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.48 : 20,219.16 = 7,652 : x
  2. Step 2: Convert to fraction form
    13,490.48/20,219.16 = 7,652/x
  3. Step 3: Cross multiply
    13,490.48x = 20,219.16 × 7,652
  4. Step 4: Simplify right side
    13,490.48x = 154,717,012.32
  5. Step 5: Solve for x
    x = 154,717,012.32/13,490.48
  6. Step 6: Final answer
    x = 11,468.61

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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.