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Finding the Fourth Proportional to 19,026, 28,539.09 and 6,714

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Solution

The fourth proportional to 19,026, 28,539.09 and 6,714 is: 10,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,026 : 28,539.09 = 6,714 : x
  2. Step 2: Convert to fraction form
    19,026/28,539.09 = 6,714/x
  3. Step 3: Cross multiply
    19,026x = 28,539.09 × 6,714
  4. Step 4: Simplify right side
    19,026x = 191,611,450.26
  5. Step 5: Solve for x
    x = 191,611,450.26/19,026
  6. Step 6: Final answer
    x = 10,071.03

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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.