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Finding the Fourth Proportional to 13,992.57, 19,303.62 and 9,206.37

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Solution

The fourth proportional to 13,992.57, 19,303.62 and 9,206.37 is: 12,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.57 : 19,303.62 = 9,206.37 : x
  2. Step 2: Convert to fraction form
    13,992.57/19,303.62 = 9,206.37/x
  3. Step 3: Cross multiply
    13,992.57x = 19,303.62 × 9,206.37
  4. Step 4: Simplify right side
    13,992.57x = 177,716,268.06
  5. Step 5: Solve for x
    x = 177,716,268.06/13,992.57
  6. Step 6: Final answer
    x = 12,700.76

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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.