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Finding the Fourth Proportional to 15,440.78, 23,164.38 and 6,206.78

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Solution

The fourth proportional to 15,440.78, 23,164.38 and 6,206.78 is: 9,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440.78 : 23,164.38 = 6,206.78 : x
  2. Step 2: Convert to fraction form
    15,440.78/23,164.38 = 6,206.78/x
  3. Step 3: Cross multiply
    15,440.78x = 23,164.38 × 6,206.78
  4. Step 4: Simplify right side
    15,440.78x = 143,776,210.50
  5. Step 5: Solve for x
    x = 143,776,210.50/15,440.78
  6. Step 6: Final answer
    x = 9,311.46

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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.