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Finding the Fourth Proportional to 13,710.98, 18,921.21 and 7,742.72

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Solution

The fourth proportional to 13,710.98, 18,921.21 and 7,742.72 is: 10,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.98 : 18,921.21 = 7,742.72 : x
  2. Step 2: Convert to fraction form
    13,710.98/18,921.21 = 7,742.72/x
  3. Step 3: Cross multiply
    13,710.98x = 18,921.21 × 7,742.72
  4. Step 4: Simplify right side
    13,710.98x = 146,501,631.09
  5. Step 5: Solve for x
    x = 146,501,631.09/13,710.98
  6. Step 6: Final answer
    x = 10,684.99

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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.