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Finding the Fourth Proportional to 21,511, 32,197.40 and 11,490.69

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Solution

The fourth proportional to 21,511, 32,197.40 and 11,490.69 is: 17,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511 : 32,197.40 = 11,490.69 : x
  2. Step 2: Convert to fraction form
    21,511/32,197.40 = 11,490.69/x
  3. Step 3: Cross multiply
    21,511x = 32,197.40 × 11,490.69
  4. Step 4: Simplify right side
    21,511x = 369,970,342.21
  5. Step 5: Solve for x
    x = 369,970,342.21/21,511
  6. Step 6: Final answer
    x = 17,199.12

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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.