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Finding the Fourth Proportional to 15,783.72, 21,780.27 and 8,709.18

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Solution

The fourth proportional to 15,783.72, 21,780.27 and 8,709.18 is: 12,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.72 : 21,780.27 = 8,709.18 : x
  2. Step 2: Convert to fraction form
    15,783.72/21,780.27 = 8,709.18/x
  3. Step 3: Cross multiply
    15,783.72x = 21,780.27 × 8,709.18
  4. Step 4: Simplify right side
    15,783.72x = 189,688,291.88
  5. Step 5: Solve for x
    x = 189,688,291.88/15,783.72
  6. Step 6: Final answer
    x = 12,017.97

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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.