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Finding the Fourth Proportional to 13,005.37, 19,499.85 and 7,166.08

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Solution

The fourth proportional to 13,005.37, 19,499.85 and 7,166.08 is: 10,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.37 : 19,499.85 = 7,166.08 : x
  2. Step 2: Convert to fraction form
    13,005.37/19,499.85 = 7,166.08/x
  3. Step 3: Cross multiply
    13,005.37x = 19,499.85 × 7,166.08
  4. Step 4: Simplify right side
    13,005.37x = 139,737,485.09
  5. Step 5: Solve for x
    x = 139,737,485.09/13,005.37
  6. Step 6: Final answer
    x = 10,744.60

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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.