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Finding the Fourth Proportional to 21,967.54, 32,954.53 and 6,969.65

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Solution

The fourth proportional to 21,967.54, 32,954.53 and 6,969.65 is: 10,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.54 : 32,954.53 = 6,969.65 : x
  2. Step 2: Convert to fraction form
    21,967.54/32,954.53 = 6,969.65/x
  3. Step 3: Cross multiply
    21,967.54x = 32,954.53 × 6,969.65
  4. Step 4: Simplify right side
    21,967.54x = 229,681,604.98
  5. Step 5: Solve for x
    x = 229,681,604.98/21,967.54
  6. Step 6: Final answer
    x = 10,455.50

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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.