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Finding the Fourth Proportional to 13,094.40, 19,646.85 and 5,982.01

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Solution

The fourth proportional to 13,094.40, 19,646.85 and 5,982.01 is: 8,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.40 : 19,646.85 = 5,982.01 : x
  2. Step 2: Convert to fraction form
    13,094.40/19,646.85 = 5,982.01/x
  3. Step 3: Cross multiply
    13,094.40x = 19,646.85 × 5,982.01
  4. Step 4: Simplify right side
    13,094.40x = 117,527,554.93
  5. Step 5: Solve for x
    x = 117,527,554.93/13,094.40
  6. Step 6: Final answer
    x = 8,975.41

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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.