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Finding the Fourth Proportional to 19,678.50, 27,156.33 and 10,846.50

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Solution

The fourth proportional to 19,678.50, 27,156.33 and 10,846.50 is: 14,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.50 : 27,156.33 = 10,846.50 : x
  2. Step 2: Convert to fraction form
    19,678.50/27,156.33 = 10,846.50/x
  3. Step 3: Cross multiply
    19,678.50x = 27,156.33 × 10,846.50
  4. Step 4: Simplify right side
    19,678.50x = 294,551,133.35
  5. Step 5: Solve for x
    x = 294,551,133.35/19,678.50
  6. Step 6: Final answer
    x = 14,968.17

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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.