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Finding the Fourth Proportional to 23,980.44, 35,981.78 and 9,184.44

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Solution

The fourth proportional to 23,980.44, 35,981.78 and 9,184.44 is: 13,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.44 : 35,981.78 = 9,184.44 : x
  2. Step 2: Convert to fraction form
    23,980.44/35,981.78 = 9,184.44/x
  3. Step 3: Cross multiply
    23,980.44x = 35,981.78 × 9,184.44
  4. Step 4: Simplify right side
    23,980.44x = 330,472,499.50
  5. Step 5: Solve for x
    x = 330,472,499.50/23,980.44
  6. Step 6: Final answer
    x = 13,780.92

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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.