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Finding the Fourth Proportional to 21,004.26, 31,506.93 and 7,162.98

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Solution

The fourth proportional to 21,004.26, 31,506.93 and 7,162.98 is: 10,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.26 : 31,506.93 = 7,162.98 : x
  2. Step 2: Convert to fraction form
    21,004.26/31,506.93 = 7,162.98/x
  3. Step 3: Cross multiply
    21,004.26x = 31,506.93 × 7,162.98
  4. Step 4: Simplify right side
    21,004.26x = 225,683,509.45
  5. Step 5: Solve for x
    x = 225,683,509.45/21,004.26
  6. Step 6: Final answer
    x = 10,744.65

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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.