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Finding the Fourth Proportional to 12,814.80, 17,684.19 and 7,225.80

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Solution

The fourth proportional to 12,814.80, 17,684.19 and 7,225.80 is: 9,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.80 : 17,684.19 = 7,225.80 : x
  2. Step 2: Convert to fraction form
    12,814.80/17,684.19 = 7,225.80/x
  3. Step 3: Cross multiply
    12,814.80x = 17,684.19 × 7,225.80
  4. Step 4: Simplify right side
    12,814.80x = 127,782,420.10
  5. Step 5: Solve for x
    x = 127,782,420.10/12,814.80
  6. Step 6: Final answer
    x = 9,971.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.