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Finding the Fourth Proportional to 12,914.69, 17,825.24 and 8,430.53

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Solution

The fourth proportional to 12,914.69, 17,825.24 and 8,430.53 is: 11,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.69 : 17,825.24 = 8,430.53 : x
  2. Step 2: Convert to fraction form
    12,914.69/17,825.24 = 8,430.53/x
  3. Step 3: Cross multiply
    12,914.69x = 17,825.24 × 8,430.53
  4. Step 4: Simplify right side
    12,914.69x = 150,276,152.53
  5. Step 5: Solve for x
    x = 150,276,152.53/12,914.69
  6. Step 6: Final answer
    x = 11,636.07

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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.