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Finding the Fourth Proportional to 12,594.52, 18,893.92 and 3,830.32

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Solution

The fourth proportional to 12,594.52, 18,893.92 and 3,830.32 is: 5,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.52 : 18,893.92 = 3,830.32 : x
  2. Step 2: Convert to fraction form
    12,594.52/18,893.92 = 3,830.32/x
  3. Step 3: Cross multiply
    12,594.52x = 18,893.92 × 3,830.32
  4. Step 4: Simplify right side
    12,594.52x = 72,369,759.65
  5. Step 5: Solve for x
    x = 72,369,759.65/12,594.52
  6. Step 6: Final answer
    x = 5,746.13

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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.