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Finding the Fourth Proportional to 13,617.36, 20,431.71 and 7,045.02

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Solution

The fourth proportional to 13,617.36, 20,431.71 and 7,045.02 is: 10,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.36 : 20,431.71 = 7,045.02 : x
  2. Step 2: Convert to fraction form
    13,617.36/20,431.71 = 7,045.02/x
  3. Step 3: Cross multiply
    13,617.36x = 20,431.71 × 7,045.02
  4. Step 4: Simplify right side
    13,617.36x = 143,941,805.58
  5. Step 5: Solve for x
    x = 143,941,805.58/13,617.36
  6. Step 6: Final answer
    x = 10,570.46

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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.