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Finding the Fourth Proportional to 21,644.60, 32,472.63 and 6,853.77

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Solution

The fourth proportional to 21,644.60, 32,472.63 and 6,853.77 is: 10,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.60 : 32,472.63 = 6,853.77 : x
  2. Step 2: Convert to fraction form
    21,644.60/32,472.63 = 6,853.77/x
  3. Step 3: Cross multiply
    21,644.60x = 32,472.63 × 6,853.77
  4. Step 4: Simplify right side
    21,644.60x = 222,559,937.32
  5. Step 5: Solve for x
    x = 222,559,937.32/21,644.60
  6. Step 6: Final answer
    x = 10,282.47

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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.