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Finding the Fourth Proportional to 19,816.46, 29,722.26 and 11,501

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Solution

The fourth proportional to 19,816.46, 29,722.26 and 11,501 is: 17,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.46 : 29,722.26 = 11,501 : x
  2. Step 2: Convert to fraction form
    19,816.46/29,722.26 = 11,501/x
  3. Step 3: Cross multiply
    19,816.46x = 29,722.26 × 11,501
  4. Step 4: Simplify right side
    19,816.46x = 341,835,712.26
  5. Step 5: Solve for x
    x = 341,835,712.26/19,816.46
  6. Step 6: Final answer
    x = 17,250.09

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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.