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Finding the Fourth Proportional to 16,195.98, 24,307.81 and 6,342.17

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Solution

The fourth proportional to 16,195.98, 24,307.81 and 6,342.17 is: 9,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.98 : 24,307.81 = 6,342.17 : x
  2. Step 2: Convert to fraction form
    16,195.98/24,307.81 = 6,342.17/x
  3. Step 3: Cross multiply
    16,195.98x = 24,307.81 × 6,342.17
  4. Step 4: Simplify right side
    16,195.98x = 154,164,263.35
  5. Step 5: Solve for x
    x = 154,164,263.35/16,195.98
  6. Step 6: Final answer
    x = 9,518.67

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