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Finding the Fourth Proportional to 21,693.72, 32,540.75 and 14,203.59

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Solution

The fourth proportional to 21,693.72, 32,540.75 and 14,203.59 is: 21,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.72 : 32,540.75 = 14,203.59 : x
  2. Step 2: Convert to fraction form
    21,693.72/32,540.75 = 14,203.59/x
  3. Step 3: Cross multiply
    21,693.72x = 32,540.75 × 14,203.59
  4. Step 4: Simplify right side
    21,693.72x = 462,195,471.29
  5. Step 5: Solve for x
    x = 462,195,471.29/21,693.72
  6. Step 6: Final answer
    x = 21,305.50

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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.