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Finding the Fourth Proportional to 14,509.56, 19,995.12 and 9,785.64

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Solution

The fourth proportional to 14,509.56, 19,995.12 and 9,785.64 is: 13,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.56 : 19,995.12 = 9,785.64 : x
  2. Step 2: Convert to fraction form
    14,509.56/19,995.12 = 9,785.64/x
  3. Step 3: Cross multiply
    14,509.56x = 19,995.12 × 9,785.64
  4. Step 4: Simplify right side
    14,509.56x = 195,665,046.08
  5. Step 5: Solve for x
    x = 195,665,046.08/14,509.56
  6. Step 6: Final answer
    x = 13,485.25

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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.