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Finding the Fourth Proportional to 23,053, 34,571.79 and 9,009.39

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Solution

The fourth proportional to 23,053, 34,571.79 and 9,009.39 is: 13,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053 : 34,571.79 = 9,009.39 : x
  2. Step 2: Convert to fraction form
    23,053/34,571.79 = 9,009.39/x
  3. Step 3: Cross multiply
    23,053x = 34,571.79 × 9,009.39
  4. Step 4: Simplify right side
    23,053x = 311,470,739.11
  5. Step 5: Solve for x
    x = 311,470,739.11/23,053
  6. Step 6: Final answer
    x = 13,511.07

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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.