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Finding the Fourth Proportional to 15,810.96, 23,664.96 and 11,649.30

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Solution

The fourth proportional to 15,810.96, 23,664.96 and 11,649.30 is: 17,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.96 : 23,664.96 = 11,649.30 : x
  2. Step 2: Convert to fraction form
    15,810.96/23,664.96 = 11,649.30/x
  3. Step 3: Cross multiply
    15,810.96x = 23,664.96 × 11,649.30
  4. Step 4: Simplify right side
    15,810.96x = 275,680,218.53
  5. Step 5: Solve for x
    x = 275,680,218.53/15,810.96
  6. Step 6: Final answer
    x = 17,436.02

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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.