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Finding the Fourth Proportional to 16,702, 23,048.34 and 9,148.34

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Solution

The fourth proportional to 16,702, 23,048.34 and 9,148.34 is: 12,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702 : 23,048.34 = 9,148.34 : x
  2. Step 2: Convert to fraction form
    16,702/23,048.34 = 9,148.34/x
  3. Step 3: Cross multiply
    16,702x = 23,048.34 × 9,148.34
  4. Step 4: Simplify right side
    16,702x = 210,854,050.76
  5. Step 5: Solve for x
    x = 210,854,050.76/16,702
  6. Step 6: Final answer
    x = 12,624.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.