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Finding the Fourth Proportional to 19,269.06, 28,904.19 and 5,229.06

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Solution

The fourth proportional to 19,269.06, 28,904.19 and 5,229.06 is: 7,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,269.06 : 28,904.19 = 5,229.06 : x
  2. Step 2: Convert to fraction form
    19,269.06/28,904.19 = 5,229.06/x
  3. Step 3: Cross multiply
    19,269.06x = 28,904.19 × 5,229.06
  4. Step 4: Simplify right side
    19,269.06x = 151,141,743.76
  5. Step 5: Solve for x
    x = 151,141,743.76/19,269.06
  6. Step 6: Final answer
    x = 7,843.75

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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.