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Finding the Fourth Proportional to 21,797.82, 32,701.44 and 12,442.32

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Solution

The fourth proportional to 21,797.82, 32,701.44 and 12,442.32 is: 18,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.82 : 32,701.44 = 12,442.32 : x
  2. Step 2: Convert to fraction form
    21,797.82/32,701.44 = 12,442.32/x
  3. Step 3: Cross multiply
    21,797.82x = 32,701.44 × 12,442.32
  4. Step 4: Simplify right side
    21,797.82x = 406,881,780.94
  5. Step 5: Solve for x
    x = 406,881,780.94/21,797.82
  6. Step 6: Final answer
    x = 18,666.17

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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.