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Finding the Fourth Proportional to 19,648, 27,114.24 and 10,816

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Solution

The fourth proportional to 19,648, 27,114.24 and 10,816 is: 14,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648 : 27,114.24 = 10,816 : x
  2. Step 2: Convert to fraction form
    19,648/27,114.24 = 10,816/x
  3. Step 3: Cross multiply
    19,648x = 27,114.24 × 10,816
  4. Step 4: Simplify right side
    19,648x = 293,267,619.84
  5. Step 5: Solve for x
    x = 293,267,619.84/19,648
  6. Step 6: Final answer
    x = 14,926.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.