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Finding the Fourth Proportional to 15,783.92, 23,656.08 and 8,370.08

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Solution

The fourth proportional to 15,783.92, 23,656.08 and 8,370.08 is: 12,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.92 : 23,656.08 = 8,370.08 : x
  2. Step 2: Convert to fraction form
    15,783.92/23,656.08 = 8,370.08/x
  3. Step 3: Cross multiply
    15,783.92x = 23,656.08 × 8,370.08
  4. Step 4: Simplify right side
    15,783.92x = 198,003,282.09
  5. Step 5: Solve for x
    x = 198,003,282.09/15,783.92
  6. Step 6: Final answer
    x = 12,544.62

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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.