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Finding the Fourth Proportional to 13,043.01, 19,564.16 and 3,683.68

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Solution

The fourth proportional to 13,043.01, 19,564.16 and 3,683.68 is: 5,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.01 : 19,564.16 = 3,683.68 : x
  2. Step 2: Convert to fraction form
    13,043.01/19,564.16 = 3,683.68/x
  3. Step 3: Cross multiply
    13,043.01x = 19,564.16 × 3,683.68
  4. Step 4: Simplify right side
    13,043.01x = 72,068,065.21
  5. Step 5: Solve for x
    x = 72,068,065.21/13,043.01
  6. Step 6: Final answer
    x = 5,525.42

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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.