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Finding the Fourth Proportional to 13,966.31, 19,273.02 and 7,678.64

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Solution

The fourth proportional to 13,966.31, 19,273.02 and 7,678.64 is: 10,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.31 : 19,273.02 = 7,678.64 : x
  2. Step 2: Convert to fraction form
    13,966.31/19,273.02 = 7,678.64/x
  3. Step 3: Cross multiply
    13,966.31x = 19,273.02 × 7,678.64
  4. Step 4: Simplify right side
    13,966.31x = 147,990,582.29
  5. Step 5: Solve for x
    x = 147,990,582.29/13,966.31
  6. Step 6: Final answer
    x = 10,596.26

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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.