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Finding the Fourth Proportional to 13,784.01, 19,021.55 and 8,477.97

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Solution

The fourth proportional to 13,784.01, 19,021.55 and 8,477.97 is: 11,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.01 : 19,021.55 = 8,477.97 : x
  2. Step 2: Convert to fraction form
    13,784.01/19,021.55 = 8,477.97/x
  3. Step 3: Cross multiply
    13,784.01x = 19,021.55 × 8,477.97
  4. Step 4: Simplify right side
    13,784.01x = 161,264,087.86
  5. Step 5: Solve for x
    x = 161,264,087.86/13,784.01
  6. Step 6: Final answer
    x = 11,699.36

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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.