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Finding the Fourth Proportional to 22,601.68, 33,904.41 and 7,804.60

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Solution

The fourth proportional to 22,601.68, 33,904.41 and 7,804.60 is: 11,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601.68 : 33,904.41 = 7,804.60 : x
  2. Step 2: Convert to fraction form
    22,601.68/33,904.41 = 7,804.60/x
  3. Step 3: Cross multiply
    22,601.68x = 33,904.41 × 7,804.60
  4. Step 4: Simplify right side
    22,601.68x = 264,610,358.29
  5. Step 5: Solve for x
    x = 264,610,358.29/22,601.68
  6. Step 6: Final answer
    x = 11,707.55

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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.