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Finding the Fourth Proportional to 19,568.41, 29,352.61 and 9,180.16

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Solution

The fourth proportional to 19,568.41, 29,352.61 and 9,180.16 is: 13,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.41 : 29,352.61 = 9,180.16 : x
  2. Step 2: Convert to fraction form
    19,568.41/29,352.61 = 9,180.16/x
  3. Step 3: Cross multiply
    19,568.41x = 29,352.61 × 9,180.16
  4. Step 4: Simplify right side
    19,568.41x = 269,461,656.22
  5. Step 5: Solve for x
    x = 269,461,656.22/19,568.41
  6. Step 6: Final answer
    x = 13,770.24

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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.