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Finding the Fourth Proportional to 14,242.24, 19,654.32 and 7,954.84

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Solution

The fourth proportional to 14,242.24, 19,654.32 and 7,954.84 is: 10,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.24 : 19,654.32 = 7,954.84 : x
  2. Step 2: Convert to fraction form
    14,242.24/19,654.32 = 7,954.84/x
  3. Step 3: Cross multiply
    14,242.24x = 19,654.32 × 7,954.84
  4. Step 4: Simplify right side
    14,242.24x = 156,346,970.91
  5. Step 5: Solve for x
    x = 156,346,970.91/14,242.24
  6. Step 6: Final answer
    x = 10,977.70

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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.