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Finding the Fourth Proportional to 21,762.93, 32,644.39 and 14,365.66

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Solution

The fourth proportional to 21,762.93, 32,644.39 and 14,365.66 is: 21,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.93 : 32,644.39 = 14,365.66 : x
  2. Step 2: Convert to fraction form
    21,762.93/32,644.39 = 14,365.66/x
  3. Step 3: Cross multiply
    21,762.93x = 32,644.39 × 14,365.66
  4. Step 4: Simplify right side
    21,762.93x = 468,958,207.65
  5. Step 5: Solve for x
    x = 468,958,207.65/21,762.93
  6. Step 6: Final answer
    x = 21,548.49

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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.