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Finding the Fourth Proportional to 19,553.81, 29,334.79 and 6,405.14

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Solution

The fourth proportional to 19,553.81, 29,334.79 and 6,405.14 is: 9,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553.81 : 29,334.79 = 6,405.14 : x
  2. Step 2: Convert to fraction form
    19,553.81/29,334.79 = 6,405.14/x
  3. Step 3: Cross multiply
    19,553.81x = 29,334.79 × 6,405.14
  4. Step 4: Simplify right side
    19,553.81x = 187,893,518.16
  5. Step 5: Solve for x
    x = 187,893,518.16/19,553.81
  6. Step 6: Final answer
    x = 9,609.05

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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.