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Finding the Fourth Proportional to 13,322.87, 19,965.23 and 9,785.13

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Solution

The fourth proportional to 13,322.87, 19,965.23 and 9,785.13 is: 14,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.87 : 19,965.23 = 9,785.13 : x
  2. Step 2: Convert to fraction form
    13,322.87/19,965.23 = 9,785.13/x
  3. Step 3: Cross multiply
    13,322.87x = 19,965.23 × 9,785.13
  4. Step 4: Simplify right side
    13,322.87x = 195,362,371.03
  5. Step 5: Solve for x
    x = 195,362,371.03/13,322.87
  6. Step 6: Final answer
    x = 14,663.69

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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.