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Finding the Fourth Proportional to 13,019.38, 19,529.07 and 6,098.74

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Solution

The fourth proportional to 13,019.38, 19,529.07 and 6,098.74 is: 9,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.38 : 19,529.07 = 6,098.74 : x
  2. Step 2: Convert to fraction form
    13,019.38/19,529.07 = 6,098.74/x
  3. Step 3: Cross multiply
    13,019.38x = 19,529.07 × 6,098.74
  4. Step 4: Simplify right side
    13,019.38x = 119,102,720.37
  5. Step 5: Solve for x
    x = 119,102,720.37/13,019.38
  6. Step 6: Final answer
    x = 9,148.11

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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.