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Finding the Fourth Proportional to 15,857.42, 23,783.65 and 6,970.79

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Solution

The fourth proportional to 15,857.42, 23,783.65 and 6,970.79 is: 10,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.42 : 23,783.65 = 6,970.79 : x
  2. Step 2: Convert to fraction form
    15,857.42/23,783.65 = 6,970.79/x
  3. Step 3: Cross multiply
    15,857.42x = 23,783.65 × 6,970.79
  4. Step 4: Simplify right side
    15,857.42x = 165,790,786.85
  5. Step 5: Solve for x
    x = 165,790,786.85/15,857.42
  6. Step 6: Final answer
    x = 10,455.09

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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.