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Finding the Fourth Proportional to 15,783.41, 21,780.78 and 8,709.77

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Solution

The fourth proportional to 15,783.41, 21,780.78 and 8,709.77 is: 12,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.41 : 21,780.78 = 8,709.77 : x
  2. Step 2: Convert to fraction form
    15,783.41/21,780.78 = 8,709.77/x
  3. Step 3: Cross multiply
    15,783.41x = 21,780.78 × 8,709.77
  4. Step 4: Simplify right side
    15,783.41x = 189,705,584.22
  5. Step 5: Solve for x
    x = 189,705,584.22/15,783.41
  6. Step 6: Final answer
    x = 12,019.30

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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.