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Finding the Fourth Proportional to 19,259.16, 28,849.32 and 13,321.32

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Solution

The fourth proportional to 19,259.16, 28,849.32 and 13,321.32 is: 19,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,259.16 : 28,849.32 = 13,321.32 : x
  2. Step 2: Convert to fraction form
    19,259.16/28,849.32 = 13,321.32/x
  3. Step 3: Cross multiply
    19,259.16x = 28,849.32 × 13,321.32
  4. Step 4: Simplify right side
    19,259.16x = 384,311,023.50
  5. Step 5: Solve for x
    x = 384,311,023.50/19,259.16
  6. Step 6: Final answer
    x = 19,954.71

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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.