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Finding the Fourth Proportional to 13,398.12, 18,475 and 11,296.80

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Solution

The fourth proportional to 13,398.12, 18,475 and 11,296.80 is: 15,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.12 : 18,475 = 11,296.80 : x
  2. Step 2: Convert to fraction form
    13,398.12/18,475 = 11,296.80/x
  3. Step 3: Cross multiply
    13,398.12x = 18,475 × 11,296.80
  4. Step 4: Simplify right side
    13,398.12x = 208,708,380
  5. Step 5: Solve for x
    x = 208,708,380/13,398.12
  6. Step 6: Final answer
    x = 15,577.44

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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.