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Finding the Fourth Proportional to 21,090.59, 31,637.24 and 7,767.17

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Solution

The fourth proportional to 21,090.59, 31,637.24 and 7,767.17 is: 11,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.59 : 31,637.24 = 7,767.17 : x
  2. Step 2: Convert to fraction form
    21,090.59/31,637.24 = 7,767.17/x
  3. Step 3: Cross multiply
    21,090.59x = 31,637.24 × 7,767.17
  4. Step 4: Simplify right side
    21,090.59x = 245,731,782.57
  5. Step 5: Solve for x
    x = 245,731,782.57/21,090.59
  6. Step 6: Final answer
    x = 11,651.25

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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.