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Finding the Fourth Proportional to 14,130, 21,198.78 and 4,896

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Solution

The fourth proportional to 14,130, 21,198.78 and 4,896 is: 7,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130 : 21,198.78 = 4,896 : x
  2. Step 2: Convert to fraction form
    14,130/21,198.78 = 4,896/x
  3. Step 3: Cross multiply
    14,130x = 21,198.78 × 4,896
  4. Step 4: Simplify right side
    14,130x = 103,789,226.88
  5. Step 5: Solve for x
    x = 103,789,226.88/14,130
  6. Step 6: Final answer
    x = 7,345.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.