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Finding the Fourth Proportional to 19,703.30, 29,559.40 and 6,556.19

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Solution

The fourth proportional to 19,703.30, 29,559.40 and 6,556.19 is: 9,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.30 : 29,559.40 = 6,556.19 : x
  2. Step 2: Convert to fraction form
    19,703.30/29,559.40 = 6,556.19/x
  3. Step 3: Cross multiply
    19,703.30x = 29,559.40 × 6,556.19
  4. Step 4: Simplify right side
    19,703.30x = 193,796,878.50
  5. Step 5: Solve for x
    x = 193,796,878.50/19,703.30
  6. Step 6: Final answer
    x = 9,835.76

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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.