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Finding the Fourth Proportional to 15,474.78, 23,212.17 and 6,709.50

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Solution

The fourth proportional to 15,474.78, 23,212.17 and 6,709.50 is: 10,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.78 : 23,212.17 = 6,709.50 : x
  2. Step 2: Convert to fraction form
    15,474.78/23,212.17 = 6,709.50/x
  3. Step 3: Cross multiply
    15,474.78x = 23,212.17 × 6,709.50
  4. Step 4: Simplify right side
    15,474.78x = 155,742,054.62
  5. Step 5: Solve for x
    x = 155,742,054.62/15,474.78
  6. Step 6: Final answer
    x = 10,064.25

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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.