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Finding the Fourth Proportional to 13,122.18, 19,661.36 and 9,219.60

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Solution

The fourth proportional to 13,122.18, 19,661.36 and 9,219.60 is: 13,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.18 : 19,661.36 = 9,219.60 : x
  2. Step 2: Convert to fraction form
    13,122.18/19,661.36 = 9,219.60/x
  3. Step 3: Cross multiply
    13,122.18x = 19,661.36 × 9,219.60
  4. Step 4: Simplify right side
    13,122.18x = 181,269,828.56
  5. Step 5: Solve for x
    x = 181,269,828.56/13,122.18
  6. Step 6: Final answer
    x = 13,814.00

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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.