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Finding the Fourth Proportional to 15,784.88, 21,783.60 and 8,711.75

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Solution

The fourth proportional to 15,784.88, 21,783.60 and 8,711.75 is: 12,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.88 : 21,783.60 = 8,711.75 : x
  2. Step 2: Convert to fraction form
    15,784.88/21,783.60 = 8,711.75/x
  3. Step 3: Cross multiply
    15,784.88x = 21,783.60 × 8,711.75
  4. Step 4: Simplify right side
    15,784.88x = 189,773,331.76
  5. Step 5: Solve for x
    x = 189,773,331.76/15,784.88
  6. Step 6: Final answer
    x = 12,022.48

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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.