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Finding the Fourth Proportional to 19,065.09, 28,601.83 and 7,820.50

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Solution

The fourth proportional to 19,065.09, 28,601.83 and 7,820.50 is: 11,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,065.09 : 28,601.83 = 7,820.50 : x
  2. Step 2: Convert to fraction form
    19,065.09/28,601.83 = 7,820.50/x
  3. Step 3: Cross multiply
    19,065.09x = 28,601.83 × 7,820.50
  4. Step 4: Simplify right side
    19,065.09x = 223,680,581.42
  5. Step 5: Solve for x
    x = 223,680,581.42/19,065.09
  6. Step 6: Final answer
    x = 11,732.47

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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.