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Finding the Fourth Proportional to 11,412.80, 17,061.52 and 11,297.60

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Solution

The fourth proportional to 11,412.80, 17,061.52 and 11,297.60 is: 16,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.80 : 17,061.52 = 11,297.60 : x
  2. Step 2: Convert to fraction form
    11,412.80/17,061.52 = 11,297.60/x
  3. Step 3: Cross multiply
    11,412.80x = 17,061.52 × 11,297.60
  4. Step 4: Simplify right side
    11,412.80x = 192,754,228.35
  5. Step 5: Solve for x
    x = 192,754,228.35/11,412.80
  6. Step 6: Final answer
    x = 16,889.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.