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Finding the Fourth Proportional to 13,029.30, 19,543.42 and 9,069.12

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Solution

The fourth proportional to 13,029.30, 19,543.42 and 9,069.12 is: 13,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.30 : 19,543.42 = 9,069.12 : x
  2. Step 2: Convert to fraction form
    13,029.30/19,543.42 = 9,069.12/x
  3. Step 3: Cross multiply
    13,029.30x = 19,543.42 × 9,069.12
  4. Step 4: Simplify right side
    13,029.30x = 177,241,621.19
  5. Step 5: Solve for x
    x = 177,241,621.19/13,029.30
  6. Step 6: Final answer
    x = 13,603.31

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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.