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Finding the Fourth Proportional to 19,842.38, 29,763.60 and 6,703.98

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Solution

The fourth proportional to 19,842.38, 29,763.60 and 6,703.98 is: 10,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.38 : 29,763.60 = 6,703.98 : x
  2. Step 2: Convert to fraction form
    19,842.38/29,763.60 = 6,703.98/x
  3. Step 3: Cross multiply
    19,842.38x = 29,763.60 × 6,703.98
  4. Step 4: Simplify right side
    19,842.38x = 199,534,647.50
  5. Step 5: Solve for x
    x = 199,534,647.50/19,842.38
  6. Step 6: Final answer
    x = 10,055.98

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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.