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Finding the Fourth Proportional to 13,205.78, 18,223.89 and 7,237.35

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Solution

The fourth proportional to 13,205.78, 18,223.89 and 7,237.35 is: 9,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.78 : 18,223.89 = 7,237.35 : x
  2. Step 2: Convert to fraction form
    13,205.78/18,223.89 = 7,237.35/x
  3. Step 3: Cross multiply
    13,205.78x = 18,223.89 × 7,237.35
  4. Step 4: Simplify right side
    13,205.78x = 131,892,643.15
  5. Step 5: Solve for x
    x = 131,892,643.15/13,205.78
  6. Step 6: Final answer
    x = 9,987.49

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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.