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Finding the Fourth Proportional to 21,599.22, 32,497.65 and 12,840.69

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Solution

The fourth proportional to 21,599.22, 32,497.65 and 12,840.69 is: 19,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599.22 : 32,497.65 = 12,840.69 : x
  2. Step 2: Convert to fraction form
    21,599.22/32,497.65 = 12,840.69/x
  3. Step 3: Cross multiply
    21,599.22x = 32,497.65 × 12,840.69
  4. Step 4: Simplify right side
    21,599.22x = 417,292,249.38
  5. Step 5: Solve for x
    x = 417,292,249.38/21,599.22
  6. Step 6: Final answer
    x = 19,319.78

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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.