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Finding the Fourth Proportional to 21,646.97, 32,472.29 and 7,605.77

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Solution

The fourth proportional to 21,646.97, 32,472.29 and 7,605.77 is: 11,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.97 : 32,472.29 = 7,605.77 : x
  2. Step 2: Convert to fraction form
    21,646.97/32,472.29 = 7,605.77/x
  3. Step 3: Cross multiply
    21,646.97x = 32,472.29 × 7,605.77
  4. Step 4: Simplify right side
    21,646.97x = 246,976,869.31
  5. Step 5: Solve for x
    x = 246,976,869.31/21,646.97
  6. Step 6: Final answer
    x = 11,409.31

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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.