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Finding the Fourth Proportional to 13,294.66, 19,941.99 and 9,122.02

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Solution

The fourth proportional to 13,294.66, 19,941.99 and 9,122.02 is: 13,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.66 : 19,941.99 = 9,122.02 : x
  2. Step 2: Convert to fraction form
    13,294.66/19,941.99 = 9,122.02/x
  3. Step 3: Cross multiply
    13,294.66x = 19,941.99 × 9,122.02
  4. Step 4: Simplify right side
    13,294.66x = 181,911,198.87
  5. Step 5: Solve for x
    x = 181,911,198.87/13,294.66
  6. Step 6: Final answer
    x = 13,683.03

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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.