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Finding the Fourth Proportional to 15,714.93, 23,544.70 and 8,303.07

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Solution

The fourth proportional to 15,714.93, 23,544.70 and 8,303.07 is: 12,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.93 : 23,544.70 = 8,303.07 : x
  2. Step 2: Convert to fraction form
    15,714.93/23,544.70 = 8,303.07/x
  3. Step 3: Cross multiply
    15,714.93x = 23,544.70 × 8,303.07
  4. Step 4: Simplify right side
    15,714.93x = 195,493,292.23
  5. Step 5: Solve for x
    x = 195,493,292.23/15,714.93
  6. Step 6: Final answer
    x = 12,439.97

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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.