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Finding the Fourth Proportional to 14,052.22, 19,391.82 and 7,678.65

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Solution

The fourth proportional to 14,052.22, 19,391.82 and 7,678.65 is: 10,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.22 : 19,391.82 = 7,678.65 : x
  2. Step 2: Convert to fraction form
    14,052.22/19,391.82 = 7,678.65/x
  3. Step 3: Cross multiply
    14,052.22x = 19,391.82 × 7,678.65
  4. Step 4: Simplify right side
    14,052.22x = 148,902,933.49
  5. Step 5: Solve for x
    x = 148,902,933.49/14,052.22
  6. Step 6: Final answer
    x = 10,596.40

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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.