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Finding the Fourth Proportional to 14,046.09, 19,383.59 and 7,758.47

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Solution

The fourth proportional to 14,046.09, 19,383.59 and 7,758.47 is: 10,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.09 : 19,383.59 = 7,758.47 : x
  2. Step 2: Convert to fraction form
    14,046.09/19,383.59 = 7,758.47/x
  3. Step 3: Cross multiply
    14,046.09x = 19,383.59 × 7,758.47
  4. Step 4: Simplify right side
    14,046.09x = 150,386,865.80
  5. Step 5: Solve for x
    x = 150,386,865.80/14,046.09
  6. Step 6: Final answer
    x = 10,706.67

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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.