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Finding the Fourth Proportional to 12,782.99, 17,648.61 and 9,793.28

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Solution

The fourth proportional to 12,782.99, 17,648.61 and 9,793.28 is: 13,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.99 : 17,648.61 = 9,793.28 : x
  2. Step 2: Convert to fraction form
    12,782.99/17,648.61 = 9,793.28/x
  3. Step 3: Cross multiply
    12,782.99x = 17,648.61 × 9,793.28
  4. Step 4: Simplify right side
    12,782.99x = 172,837,779.34
  5. Step 5: Solve for x
    x = 172,837,779.34/12,782.99
  6. Step 6: Final answer
    x = 13,520.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.