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Finding the Fourth Proportional to 13,782.96, 19,021.08 and 7,814.58

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Solution

The fourth proportional to 13,782.96, 19,021.08 and 7,814.58 is: 10,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.96 : 19,021.08 = 7,814.58 : x
  2. Step 2: Convert to fraction form
    13,782.96/19,021.08 = 7,814.58/x
  3. Step 3: Cross multiply
    13,782.96x = 19,021.08 × 7,814.58
  4. Step 4: Simplify right side
    13,782.96x = 148,641,751.35
  5. Step 5: Solve for x
    x = 148,641,751.35/13,782.96
  6. Step 6: Final answer
    x = 10,784.46

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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.