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Finding the Fourth Proportional to 19,562.01, 29,346.40 and 6,409.94

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Solution

The fourth proportional to 19,562.01, 29,346.40 and 6,409.94 is: 9,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.01 : 29,346.40 = 6,409.94 : x
  2. Step 2: Convert to fraction form
    19,562.01/29,346.40 = 6,409.94/x
  3. Step 3: Cross multiply
    19,562.01x = 29,346.40 × 6,409.94
  4. Step 4: Simplify right side
    19,562.01x = 188,108,524.50
  5. Step 5: Solve for x
    x = 188,108,524.50/19,562.01
  6. Step 6: Final answer
    x = 9,616.01

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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.