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Finding the Fourth Proportional to 13,401.88, 18,477.59 and 9,578.08

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Solution

The fourth proportional to 13,401.88, 18,477.59 and 9,578.08 is: 13,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.88 : 18,477.59 = 9,578.08 : x
  2. Step 2: Convert to fraction form
    13,401.88/18,477.59 = 9,578.08/x
  3. Step 3: Cross multiply
    13,401.88x = 18,477.59 × 9,578.08
  4. Step 4: Simplify right side
    13,401.88x = 176,979,835.23
  5. Step 5: Solve for x
    x = 176,979,835.23/13,401.88
  6. Step 6: Final answer
    x = 13,205.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.