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Finding the Fourth Proportional to 21,710.99, 29,962.01 and 14,162.33

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Solution

The fourth proportional to 21,710.99, 29,962.01 and 14,162.33 is: 19,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.99 : 29,962.01 = 14,162.33 : x
  2. Step 2: Convert to fraction form
    21,710.99/29,962.01 = 14,162.33/x
  3. Step 3: Cross multiply
    21,710.99x = 29,962.01 × 14,162.33
  4. Step 4: Simplify right side
    21,710.99x = 424,331,758.68
  5. Step 5: Solve for x
    x = 424,331,758.68/21,710.99
  6. Step 6: Final answer
    x = 19,544.57

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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.