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Finding the Fourth Proportional to 19,971, 29,976.34 and 10,611.10

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Solution

The fourth proportional to 19,971, 29,976.34 and 10,611.10 is: 15,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 29,976.34 = 10,611.10 : x
  2. Step 2: Convert to fraction form
    19,971/29,976.34 = 10,611.10/x
  3. Step 3: Cross multiply
    19,971x = 29,976.34 × 10,611.10
  4. Step 4: Simplify right side
    19,971x = 318,081,941.37
  5. Step 5: Solve for x
    x = 318,081,941.37/19,971
  6. Step 6: Final answer
    x = 15,927.19

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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.