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Finding the Fourth Proportional to 13,406.49, 18,509.62 and 8,307.42

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Solution

The fourth proportional to 13,406.49, 18,509.62 and 8,307.42 is: 11,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.49 : 18,509.62 = 8,307.42 : x
  2. Step 2: Convert to fraction form
    13,406.49/18,509.62 = 8,307.42/x
  3. Step 3: Cross multiply
    13,406.49x = 18,509.62 × 8,307.42
  4. Step 4: Simplify right side
    13,406.49x = 153,767,107.11
  5. Step 5: Solve for x
    x = 153,767,107.11/13,406.49
  6. Step 6: Final answer
    x = 11,469.60

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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.