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Finding the Fourth Proportional to 16,197.50, 22,307.85 and 13,958.57

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Solution

The fourth proportional to 16,197.50, 22,307.85 and 13,958.57 is: 19,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.50 : 22,307.85 = 13,958.57 : x
  2. Step 2: Convert to fraction form
    16,197.50/22,307.85 = 13,958.57/x
  3. Step 3: Cross multiply
    16,197.50x = 22,307.85 × 13,958.57
  4. Step 4: Simplify right side
    16,197.50x = 311,385,574.24
  5. Step 5: Solve for x
    x = 311,385,574.24/16,197.50
  6. Step 6: Final answer
    x = 19,224.30

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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.