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Finding the Fourth Proportional to 21,494.57, 32,214.51 and 11,642.13

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Solution

The fourth proportional to 21,494.57, 32,214.51 and 11,642.13 is: 17,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.57 : 32,214.51 = 11,642.13 : x
  2. Step 2: Convert to fraction form
    21,494.57/32,214.51 = 11,642.13/x
  3. Step 3: Cross multiply
    21,494.57x = 32,214.51 × 11,642.13
  4. Step 4: Simplify right side
    21,494.57x = 375,045,513.31
  5. Step 5: Solve for x
    x = 375,045,513.31/21,494.57
  6. Step 6: Final answer
    x = 17,448.39

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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.