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Finding the Fourth Proportional to 19,126.64, 28,689.96 and 6,806

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Solution

The fourth proportional to 19,126.64, 28,689.96 and 6,806 is: 10,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126.64 : 28,689.96 = 6,806 : x
  2. Step 2: Convert to fraction form
    19,126.64/28,689.96 = 6,806/x
  3. Step 3: Cross multiply
    19,126.64x = 28,689.96 × 6,806
  4. Step 4: Simplify right side
    19,126.64x = 195,263,867.76
  5. Step 5: Solve for x
    x = 195,263,867.76/19,126.64
  6. Step 6: Final answer
    x = 10,209

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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.