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Finding the Fourth Proportional to 14,052.39, 19,391.70 and 7,678.88

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Solution

The fourth proportional to 14,052.39, 19,391.70 and 7,678.88 is: 10,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.39 : 19,391.70 = 7,678.88 : x
  2. Step 2: Convert to fraction form
    14,052.39/19,391.70 = 7,678.88/x
  3. Step 3: Cross multiply
    14,052.39x = 19,391.70 × 7,678.88
  4. Step 4: Simplify right side
    14,052.39x = 148,906,586.14
  5. Step 5: Solve for x
    x = 148,906,586.14/14,052.39
  6. Step 6: Final answer
    x = 10,596.53

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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.