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Finding the Fourth Proportional to 13,217.00, 19,828.53 and 5,822.02

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Solution

The fourth proportional to 13,217.00, 19,828.53 and 5,822.02 is: 8,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.00 : 19,828.53 = 5,822.02 : x
  2. Step 2: Convert to fraction form
    13,217.00/19,828.53 = 5,822.02/x
  3. Step 3: Cross multiply
    13,217.00x = 19,828.53 × 5,822.02
  4. Step 4: Simplify right side
    13,217.00x = 115,442,101.18
  5. Step 5: Solve for x
    x = 115,442,101.18/13,217.00
  6. Step 6: Final answer
    x = 8,734.37

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Why These Related Problems?

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