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Finding the Fourth Proportional to 13,864.51, 20,788.44 and 5,849.74

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Solution

The fourth proportional to 13,864.51, 20,788.44 and 5,849.74 is: 8,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.51 : 20,788.44 = 5,849.74 : x
  2. Step 2: Convert to fraction form
    13,864.51/20,788.44 = 5,849.74/x
  3. Step 3: Cross multiply
    13,864.51x = 20,788.44 × 5,849.74
  4. Step 4: Simplify right side
    13,864.51x = 121,606,969.01
  5. Step 5: Solve for x
    x = 121,606,969.01/13,864.51
  6. Step 6: Final answer
    x = 8,771.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.