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Finding the Fourth Proportional to 21,344.65, 31,991.04 and 15,106.48

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Solution

The fourth proportional to 21,344.65, 31,991.04 and 15,106.48 is: 22,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.65 : 31,991.04 = 15,106.48 : x
  2. Step 2: Convert to fraction form
    21,344.65/31,991.04 = 15,106.48/x
  3. Step 3: Cross multiply
    21,344.65x = 31,991.04 × 15,106.48
  4. Step 4: Simplify right side
    21,344.65x = 483,272,005.94
  5. Step 5: Solve for x
    x = 483,272,005.94/21,344.65
  6. Step 6: Final answer
    x = 22,641.36

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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.