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Finding the Fourth Proportional to 13,155.68, 19,707.50 and 6,906.33

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Solution

The fourth proportional to 13,155.68, 19,707.50 and 6,906.33 is: 10,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155.68 : 19,707.50 = 6,906.33 : x
  2. Step 2: Convert to fraction form
    13,155.68/19,707.50 = 6,906.33/x
  3. Step 3: Cross multiply
    13,155.68x = 19,707.50 × 6,906.33
  4. Step 4: Simplify right side
    13,155.68x = 136,106,515.74
  5. Step 5: Solve for x
    x = 136,106,515.74/13,155.68
  6. Step 6: Final answer
    x = 10,345.83

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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.