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Finding the Fourth Proportional to 15,783.26, 23,673.06 and 4,097.39

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Solution

The fourth proportional to 15,783.26, 23,673.06 and 4,097.39 is: 6,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.26 : 23,673.06 = 4,097.39 : x
  2. Step 2: Convert to fraction form
    15,783.26/23,673.06 = 4,097.39/x
  3. Step 3: Cross multiply
    15,783.26x = 23,673.06 × 4,097.39
  4. Step 4: Simplify right side
    15,783.26x = 96,997,640.95
  5. Step 5: Solve for x
    x = 96,997,640.95/15,783.26
  6. Step 6: Final answer
    x = 6,145.60

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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.