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Finding the Fourth Proportional to 21,786.17, 32,681.07 and 7,749.27

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Solution

The fourth proportional to 21,786.17, 32,681.07 and 7,749.27 is: 11,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.17 : 32,681.07 = 7,749.27 : x
  2. Step 2: Convert to fraction form
    21,786.17/32,681.07 = 7,749.27/x
  3. Step 3: Cross multiply
    21,786.17x = 32,681.07 × 7,749.27
  4. Step 4: Simplify right side
    21,786.17x = 253,254,435.32
  5. Step 5: Solve for x
    x = 253,254,435.32/21,786.17
  6. Step 6: Final answer
    x = 11,624.55

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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.