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Finding the Fourth Proportional to 30,307.44, 41,824.14 and 16,878.86

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Solution

The fourth proportional to 30,307.44, 41,824.14 and 16,878.86 is: 23,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.44 : 41,824.14 = 16,878.86 : x
  2. Step 2: Convert to fraction form
    30,307.44/41,824.14 = 16,878.86/x
  3. Step 3: Cross multiply
    30,307.44x = 41,824.14 × 16,878.86
  4. Step 4: Simplify right side
    30,307.44x = 705,943,803.68
  5. Step 5: Solve for x
    x = 705,943,803.68/30,307.44
  6. Step 6: Final answer
    x = 23,292.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.