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Finding the Fourth Proportional to 12,911.51, 17,821.66 and 8,435.99

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Solution

The fourth proportional to 12,911.51, 17,821.66 and 8,435.99 is: 11,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.51 : 17,821.66 = 8,435.99 : x
  2. Step 2: Convert to fraction form
    12,911.51/17,821.66 = 8,435.99/x
  3. Step 3: Cross multiply
    12,911.51x = 17,821.66 × 8,435.99
  4. Step 4: Simplify right side
    12,911.51x = 150,343,256.44
  5. Step 5: Solve for x
    x = 150,343,256.44/12,911.51
  6. Step 6: Final answer
    x = 11,644.13

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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.