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Finding the Fourth Proportional to 24,274.57, 33,492.34 and 14,205.50

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Solution

The fourth proportional to 24,274.57, 33,492.34 and 14,205.50 is: 19,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.57 : 33,492.34 = 14,205.50 : x
  2. Step 2: Convert to fraction form
    24,274.57/33,492.34 = 14,205.50/x
  3. Step 3: Cross multiply
    24,274.57x = 33,492.34 × 14,205.50
  4. Step 4: Simplify right side
    24,274.57x = 475,775,435.87
  5. Step 5: Solve for x
    x = 475,775,435.87/24,274.57
  6. Step 6: Final answer
    x = 19,599.75

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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.