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Finding the Fourth Proportional to 13,214.53, 19,828.73 and 5,824.05

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Solution

The fourth proportional to 13,214.53, 19,828.73 and 5,824.05 is: 8,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.53 : 19,828.73 = 5,824.05 : x
  2. Step 2: Convert to fraction form
    13,214.53/19,828.73 = 5,824.05/x
  3. Step 3: Cross multiply
    13,214.53x = 19,828.73 × 5,824.05
  4. Step 4: Simplify right side
    13,214.53x = 115,483,566.70
  5. Step 5: Solve for x
    x = 115,483,566.70/13,214.53
  6. Step 6: Final answer
    x = 8,739.14

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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.