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Finding the Fourth Proportional to 13,646.36, 20,465.18 and 5,324.35

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Solution

The fourth proportional to 13,646.36, 20,465.18 and 5,324.35 is: 7,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.36 : 20,465.18 = 5,324.35 : x
  2. Step 2: Convert to fraction form
    13,646.36/20,465.18 = 5,324.35/x
  3. Step 3: Cross multiply
    13,646.36x = 20,465.18 × 5,324.35
  4. Step 4: Simplify right side
    13,646.36x = 108,963,781.13
  5. Step 5: Solve for x
    x = 108,963,781.13/13,646.36
  6. Step 6: Final answer
    x = 7,984.82

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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.