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Finding the Fourth Proportional to 23,795.78, 35,709.81 and 12,710.42

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Solution

The fourth proportional to 23,795.78, 35,709.81 and 12,710.42 is: 19,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,795.78 : 35,709.81 = 12,710.42 : x
  2. Step 2: Convert to fraction form
    23,795.78/35,709.81 = 12,710.42/x
  3. Step 3: Cross multiply
    23,795.78x = 35,709.81 × 12,710.42
  4. Step 4: Simplify right side
    23,795.78x = 453,886,504.67
  5. Step 5: Solve for x
    x = 453,886,504.67/23,795.78
  6. Step 6: Final answer
    x = 19,074.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.