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Finding the Fourth Proportional to 23,984.61, 35,980.19 and 8,185.40

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Solution

The fourth proportional to 23,984.61, 35,980.19 and 8,185.40 is: 12,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.61 : 35,980.19 = 8,185.40 : x
  2. Step 2: Convert to fraction form
    23,984.61/35,980.19 = 8,185.40/x
  3. Step 3: Cross multiply
    23,984.61x = 35,980.19 × 8,185.40
  4. Step 4: Simplify right side
    23,984.61x = 294,512,026.40
  5. Step 5: Solve for x
    x = 294,512,026.40/23,984.61
  6. Step 6: Final answer
    x = 12,279.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.