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Finding the Fourth Proportional to 19,859.12, 29,784.12 and 5,815.52

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Solution

The fourth proportional to 19,859.12, 29,784.12 and 5,815.52 is: 8,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.12 : 29,784.12 = 5,815.52 : x
  2. Step 2: Convert to fraction form
    19,859.12/29,784.12 = 5,815.52/x
  3. Step 3: Cross multiply
    19,859.12x = 29,784.12 × 5,815.52
  4. Step 4: Simplify right side
    19,859.12x = 173,210,145.54
  5. Step 5: Solve for x
    x = 173,210,145.54/19,859.12
  6. Step 6: Final answer
    x = 8,721.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.