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Finding the Fourth Proportional to 21,005.36, 31,491.02 and 7,855.82

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Solution

The fourth proportional to 21,005.36, 31,491.02 and 7,855.82 is: 11,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.36 : 31,491.02 = 7,855.82 : x
  2. Step 2: Convert to fraction form
    21,005.36/31,491.02 = 7,855.82/x
  3. Step 3: Cross multiply
    21,005.36x = 31,491.02 × 7,855.82
  4. Step 4: Simplify right side
    21,005.36x = 247,387,784.74
  5. Step 5: Solve for x
    x = 247,387,784.74/21,005.36
  6. Step 6: Final answer
    x = 11,777.36

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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.