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Finding the Fourth Proportional to 19,781.64, 29,662.89 and 7,307.54

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Solution

The fourth proportional to 19,781.64, 29,662.89 and 7,307.54 is: 10,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.64 : 29,662.89 = 7,307.54 : x
  2. Step 2: Convert to fraction form
    19,781.64/29,662.89 = 7,307.54/x
  3. Step 3: Cross multiply
    19,781.64x = 29,662.89 × 7,307.54
  4. Step 4: Simplify right side
    19,781.64x = 216,762,755.19
  5. Step 5: Solve for x
    x = 216,762,755.19/19,781.64
  6. Step 6: Final answer
    x = 10,957.77

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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.