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Finding the Fourth Proportional to 13,069.15, 19,597.34 and 6,499.04

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Solution

The fourth proportional to 13,069.15, 19,597.34 and 6,499.04 is: 9,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.15 : 19,597.34 = 6,499.04 : x
  2. Step 2: Convert to fraction form
    13,069.15/19,597.34 = 6,499.04/x
  3. Step 3: Cross multiply
    13,069.15x = 19,597.34 × 6,499.04
  4. Step 4: Simplify right side
    13,069.15x = 127,363,814.81
  5. Step 5: Solve for x
    x = 127,363,814.81/13,069.15
  6. Step 6: Final answer
    x = 9,745.38

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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.