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Finding the Fourth Proportional to 21,406.88, 32,072.52 and 11,535.68

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Solution

The fourth proportional to 21,406.88, 32,072.52 and 11,535.68 is: 17,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.88 : 32,072.52 = 11,535.68 : x
  2. Step 2: Convert to fraction form
    21,406.88/32,072.52 = 11,535.68/x
  3. Step 3: Cross multiply
    21,406.88x = 32,072.52 × 11,535.68
  4. Step 4: Simplify right side
    21,406.88x = 369,978,327.51
  5. Step 5: Solve for x
    x = 369,978,327.51/21,406.88
  6. Step 6: Final answer
    x = 17,283.15

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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.