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Finding the Fourth Proportional to 21,006.72, 31,477.25 and 13,199.13

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Solution

The fourth proportional to 21,006.72, 31,477.25 and 13,199.13 is: 19,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.72 : 31,477.25 = 13,199.13 : x
  2. Step 2: Convert to fraction form
    21,006.72/31,477.25 = 13,199.13/x
  3. Step 3: Cross multiply
    21,006.72x = 31,477.25 × 13,199.13
  4. Step 4: Simplify right side
    21,006.72x = 415,472,449.17
  5. Step 5: Solve for x
    x = 415,472,449.17/21,006.72
  6. Step 6: Final answer
    x = 19,778.07

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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.