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Finding the Fourth Proportional to 21,007.76, 31,518.84 and 7,166.48

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Solution

The fourth proportional to 21,007.76, 31,518.84 and 7,166.48 is: 10,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.76 : 31,518.84 = 7,166.48 : x
  2. Step 2: Convert to fraction form
    21,007.76/31,518.84 = 7,166.48/x
  3. Step 3: Cross multiply
    21,007.76x = 31,518.84 × 7,166.48
  4. Step 4: Simplify right side
    21,007.76x = 225,879,136.48
  5. Step 5: Solve for x
    x = 225,879,136.48/21,007.76
  6. Step 6: Final answer
    x = 10,752.18

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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.