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Finding the Fourth Proportional to 21,832.40, 32,748.59 and 7,041.31

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Solution

The fourth proportional to 21,832.40, 32,748.59 and 7,041.31 is: 10,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.40 : 32,748.59 = 7,041.31 : x
  2. Step 2: Convert to fraction form
    21,832.40/32,748.59 = 7,041.31/x
  3. Step 3: Cross multiply
    21,832.40x = 32,748.59 × 7,041.31
  4. Step 4: Simplify right side
    21,832.40x = 230,593,094.20
  5. Step 5: Solve for x
    x = 230,593,094.20/21,832.40
  6. Step 6: Final answer
    x = 10,561.97

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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.