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Finding the Fourth Proportional to 21,866.04, 32,792.06 and 7,071.80

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Solution

The fourth proportional to 21,866.04, 32,792.06 and 7,071.80 is: 10,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.04 : 32,792.06 = 7,071.80 : x
  2. Step 2: Convert to fraction form
    21,866.04/32,792.06 = 7,071.80/x
  3. Step 3: Cross multiply
    21,866.04x = 32,792.06 × 7,071.80
  4. Step 4: Simplify right side
    21,866.04x = 231,898,889.91
  5. Step 5: Solve for x
    x = 231,898,889.91/21,866.04
  6. Step 6: Final answer
    x = 10,605.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.