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Finding the Fourth Proportional to 21,735.16, 32,602.42 and 6,943.88

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Solution

The fourth proportional to 21,735.16, 32,602.42 and 6,943.88 is: 10,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.16 : 32,602.42 = 6,943.88 : x
  2. Step 2: Convert to fraction form
    21,735.16/32,602.42 = 6,943.88/x
  3. Step 3: Cross multiply
    21,735.16x = 32,602.42 × 6,943.88
  4. Step 4: Simplify right side
    21,735.16x = 226,387,292.19
  5. Step 5: Solve for x
    x = 226,387,292.19/21,735.16
  6. Step 6: Final answer
    x = 10,415.72

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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.