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Finding the Fourth Proportional to 14,116.98, 19,436.85 and 10,749

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Solution

The fourth proportional to 14,116.98, 19,436.85 and 10,749 is: 14,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.98 : 19,436.85 = 10,749 : x
  2. Step 2: Convert to fraction form
    14,116.98/19,436.85 = 10,749/x
  3. Step 3: Cross multiply
    14,116.98x = 19,436.85 × 10,749
  4. Step 4: Simplify right side
    14,116.98x = 208,926,700.65
  5. Step 5: Solve for x
    x = 208,926,700.65/14,116.98
  6. Step 6: Final answer
    x = 14,799.67

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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.