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Finding the Fourth Proportional to 20,417.88, 30,611.25 and 9,316.83

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Solution

The fourth proportional to 20,417.88, 30,611.25 and 9,316.83 is: 13,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.88 : 30,611.25 = 9,316.83 : x
  2. Step 2: Convert to fraction form
    20,417.88/30,611.25 = 9,316.83/x
  3. Step 3: Cross multiply
    20,417.88x = 30,611.25 × 9,316.83
  4. Step 4: Simplify right side
    20,417.88x = 285,199,812.34
  5. Step 5: Solve for x
    x = 285,199,812.34/20,417.88
  6. Step 6: Final answer
    x = 13,968.14

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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.