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Finding the Fourth Proportional to 13,966.34, 19,273.88 and 7,678.71

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Solution

The fourth proportional to 13,966.34, 19,273.88 and 7,678.71 is: 10,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.34 : 19,273.88 = 7,678.71 : x
  2. Step 2: Convert to fraction form
    13,966.34/19,273.88 = 7,678.71/x
  3. Step 3: Cross multiply
    13,966.34x = 19,273.88 × 7,678.71
  4. Step 4: Simplify right side
    13,966.34x = 147,998,554.29
  5. Step 5: Solve for x
    x = 147,998,554.29/13,966.34
  6. Step 6: Final answer
    x = 10,596.81

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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.