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Finding the Fourth Proportional to 13,664.19, 20,483.69 and 5,349.65

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Solution

The fourth proportional to 13,664.19, 20,483.69 and 5,349.65 is: 8,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.19 : 20,483.69 = 5,349.65 : x
  2. Step 2: Convert to fraction form
    13,664.19/20,483.69 = 5,349.65/x
  3. Step 3: Cross multiply
    13,664.19x = 20,483.69 × 5,349.65
  4. Step 4: Simplify right side
    13,664.19x = 109,580,443.04
  5. Step 5: Solve for x
    x = 109,580,443.04/13,664.19
  6. Step 6: Final answer
    x = 8,019.53

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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.