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Finding the Fourth Proportional to 19,736.48, 29,584.04 and 9,197.81

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Solution

The fourth proportional to 19,736.48, 29,584.04 and 9,197.81 is: 13,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736.48 : 29,584.04 = 9,197.81 : x
  2. Step 2: Convert to fraction form
    19,736.48/29,584.04 = 9,197.81/x
  3. Step 3: Cross multiply
    19,736.48x = 29,584.04 × 9,197.81
  4. Step 4: Simplify right side
    19,736.48x = 272,108,373.59
  5. Step 5: Solve for x
    x = 272,108,373.59/19,736.48
  6. Step 6: Final answer
    x = 13,787.08

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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.