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Finding the Fourth Proportional to 19,462.69, 29,198.13 and 6,314.02

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Solution

The fourth proportional to 19,462.69, 29,198.13 and 6,314.02 is: 9,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.69 : 29,198.13 = 6,314.02 : x
  2. Step 2: Convert to fraction form
    19,462.69/29,198.13 = 6,314.02/x
  3. Step 3: Cross multiply
    19,462.69x = 29,198.13 × 6,314.02
  4. Step 4: Simplify right side
    19,462.69x = 184,357,430.79
  5. Step 5: Solve for x
    x = 184,357,430.79/19,462.69
  6. Step 6: Final answer
    x = 9,472.35

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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.