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Finding the Fourth Proportional to 14,242.32, 19,653.02 and 9,769.90

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Solution

The fourth proportional to 14,242.32, 19,653.02 and 9,769.90 is: 13,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.32 : 19,653.02 = 9,769.90 : x
  2. Step 2: Convert to fraction form
    14,242.32/19,653.02 = 9,769.90/x
  3. Step 3: Cross multiply
    14,242.32x = 19,653.02 × 9,769.90
  4. Step 4: Simplify right side
    14,242.32x = 192,008,040.10
  5. Step 5: Solve for x
    x = 192,008,040.10/14,242.32
  6. Step 6: Final answer
    x = 13,481.51

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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.