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Finding the Fourth Proportional to 13,151.98, 19,727.43 and 7,304.86

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Solution

The fourth proportional to 13,151.98, 19,727.43 and 7,304.86 is: 10,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.98 : 19,727.43 = 7,304.86 : x
  2. Step 2: Convert to fraction form
    13,151.98/19,727.43 = 7,304.86/x
  3. Step 3: Cross multiply
    13,151.98x = 19,727.43 × 7,304.86
  4. Step 4: Simplify right side
    13,151.98x = 144,106,114.31
  5. Step 5: Solve for x
    x = 144,106,114.31/13,151.98
  6. Step 6: Final answer
    x = 10,956.99

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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.