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Finding the Fourth Proportional to 21,969.42, 32,959.35 and 7,178.31

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Solution

The fourth proportional to 21,969.42, 32,959.35 and 7,178.31 is: 10,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.42 : 32,959.35 = 7,178.31 : x
  2. Step 2: Convert to fraction form
    21,969.42/32,959.35 = 7,178.31/x
  3. Step 3: Cross multiply
    21,969.42x = 32,959.35 × 7,178.31
  4. Step 4: Simplify right side
    21,969.42x = 236,592,431.70
  5. Step 5: Solve for x
    x = 236,592,431.70/21,969.42
  6. Step 6: Final answer
    x = 10,769.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.