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Finding the Fourth Proportional to 19,396, 29,095.69 and 5,356.05

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Solution

The fourth proportional to 19,396, 29,095.69 and 5,356.05 is: 8,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396 : 29,095.69 = 5,356.05 : x
  2. Step 2: Convert to fraction form
    19,396/29,095.69 = 5,356.05/x
  3. Step 3: Cross multiply
    19,396x = 29,095.69 × 5,356.05
  4. Step 4: Simplify right side
    19,396x = 155,837,970.42
  5. Step 5: Solve for x
    x = 155,837,970.42/19,396
  6. Step 6: Final answer
    x = 8,034.54

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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.