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Finding the Fourth Proportional to 15,102.86, 20,846.70 and 9,725.36

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Solution

The fourth proportional to 15,102.86, 20,846.70 and 9,725.36 is: 13,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.86 : 20,846.70 = 9,725.36 : x
  2. Step 2: Convert to fraction form
    15,102.86/20,846.70 = 9,725.36/x
  3. Step 3: Cross multiply
    15,102.86x = 20,846.70 × 9,725.36
  4. Step 4: Simplify right side
    15,102.86x = 202,741,714.43
  5. Step 5: Solve for x
    x = 202,741,714.43/15,102.86
  6. Step 6: Final answer
    x = 13,424.06

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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.