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Finding the Fourth Proportional to 19,462.50, 29,197.38 and 6,313.16

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Solution

The fourth proportional to 19,462.50, 29,197.38 and 6,313.16 is: 9,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.50 : 29,197.38 = 6,313.16 : x
  2. Step 2: Convert to fraction form
    19,462.50/29,197.38 = 6,313.16/x
  3. Step 3: Cross multiply
    19,462.50x = 29,197.38 × 6,313.16
  4. Step 4: Simplify right side
    19,462.50x = 184,327,585.53
  5. Step 5: Solve for x
    x = 184,327,585.53/19,462.50
  6. Step 6: Final answer
    x = 9,470.91

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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.