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Finding the Fourth Proportional to 21,646.82, 32,473.02 and 7,605.84

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Solution

The fourth proportional to 21,646.82, 32,473.02 and 7,605.84 is: 11,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.82 : 32,473.02 = 7,605.84 : x
  2. Step 2: Convert to fraction form
    21,646.82/32,473.02 = 7,605.84/x
  3. Step 3: Cross multiply
    21,646.82x = 32,473.02 × 7,605.84
  4. Step 4: Simplify right side
    21,646.82x = 246,984,594.44
  5. Step 5: Solve for x
    x = 246,984,594.44/21,646.82
  6. Step 6: Final answer
    x = 11,409.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.