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Finding the Fourth Proportional to 19,471.48, 29,216.44 and 10,106.50

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Solution

The fourth proportional to 19,471.48, 29,216.44 and 10,106.50 is: 15,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.48 : 29,216.44 = 10,106.50 : x
  2. Step 2: Convert to fraction form
    19,471.48/29,216.44 = 10,106.50/x
  3. Step 3: Cross multiply
    19,471.48x = 29,216.44 × 10,106.50
  4. Step 4: Simplify right side
    19,471.48x = 295,275,950.86
  5. Step 5: Solve for x
    x = 295,275,950.86/19,471.48
  6. Step 6: Final answer
    x = 15,164.54

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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.