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Finding the Fourth Proportional to 21,974.70, 32,967.72 and 6,392.34

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Solution

The fourth proportional to 21,974.70, 32,967.72 and 6,392.34 is: 9,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.70 : 32,967.72 = 6,392.34 : x
  2. Step 2: Convert to fraction form
    21,974.70/32,967.72 = 6,392.34/x
  3. Step 3: Cross multiply
    21,974.70x = 32,967.72 × 6,392.34
  4. Step 4: Simplify right side
    21,974.70x = 210,740,875.26
  5. Step 5: Solve for x
    x = 210,740,875.26/21,974.70
  6. Step 6: Final answer
    x = 9,590.16

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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.