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Finding the Fourth Proportional to 21,004.48, 31,462.80 and 9,920.80

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Solution

The fourth proportional to 21,004.48, 31,462.80 and 9,920.80 is: 14,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.48 : 31,462.80 = 9,920.80 : x
  2. Step 2: Convert to fraction form
    21,004.48/31,462.80 = 9,920.80/x
  3. Step 3: Cross multiply
    21,004.48x = 31,462.80 × 9,920.80
  4. Step 4: Simplify right side
    21,004.48x = 312,136,146.24
  5. Step 5: Solve for x
    x = 312,136,146.24/21,004.48
  6. Step 6: Final answer
    x = 14,860.46

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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.