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Finding the Fourth Proportional to 21,768.46, 32,652.66 and 5,973.66

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Solution

The fourth proportional to 21,768.46, 32,652.66 and 5,973.66 is: 8,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768.46 : 32,652.66 = 5,973.66 : x
  2. Step 2: Convert to fraction form
    21,768.46/32,652.66 = 5,973.66/x
  3. Step 3: Cross multiply
    21,768.46x = 32,652.66 × 5,973.66
  4. Step 4: Simplify right side
    21,768.46x = 195,055,888.94
  5. Step 5: Solve for x
    x = 195,055,888.94/21,768.46
  6. Step 6: Final answer
    x = 8,960.48

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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.