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Finding the Fourth Proportional to 23,769, 32,801.22 and 13,833

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Solution

The fourth proportional to 23,769, 32,801.22 and 13,833 is: 19,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 32,801.22 = 13,833 : x
  2. Step 2: Convert to fraction form
    23,769/32,801.22 = 13,833/x
  3. Step 3: Cross multiply
    23,769x = 32,801.22 × 13,833
  4. Step 4: Simplify right side
    23,769x = 453,739,276.26
  5. Step 5: Solve for x
    x = 453,739,276.26/23,769
  6. Step 6: Final answer
    x = 19,089.54

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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.