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Finding the Fourth Proportional to 19,132.96, 28,702.32 and 6,820

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Solution

The fourth proportional to 19,132.96, 28,702.32 and 6,820 is: 10,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132.96 : 28,702.32 = 6,820 : x
  2. Step 2: Convert to fraction form
    19,132.96/28,702.32 = 6,820/x
  3. Step 3: Cross multiply
    19,132.96x = 28,702.32 × 6,820
  4. Step 4: Simplify right side
    19,132.96x = 195,749,822.40
  5. Step 5: Solve for x
    x = 195,749,822.40/19,132.96
  6. Step 6: Final answer
    x = 10,231.03

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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.