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Finding the Fourth Proportional to 22,633.02, 33,953.18 and 7,047

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Solution

The fourth proportional to 22,633.02, 33,953.18 and 7,047 is: 10,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.02 : 33,953.18 = 7,047 : x
  2. Step 2: Convert to fraction form
    22,633.02/33,953.18 = 7,047/x
  3. Step 3: Cross multiply
    22,633.02x = 33,953.18 × 7,047
  4. Step 4: Simplify right side
    22,633.02x = 239,268,024.23
  5. Step 5: Solve for x
    x = 239,268,024.23/22,633.02
  6. Step 6: Final answer
    x = 10,571.63

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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.