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Finding the Fourth Proportional to 19,347.68, 29,046 and 16,100.48

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Solution

The fourth proportional to 19,347.68, 29,046 and 16,100.48 is: 24,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.68 : 29,046 = 16,100.48 : x
  2. Step 2: Convert to fraction form
    19,347.68/29,046 = 16,100.48/x
  3. Step 3: Cross multiply
    19,347.68x = 29,046 × 16,100.48
  4. Step 4: Simplify right side
    19,347.68x = 467,654,542.08
  5. Step 5: Solve for x
    x = 467,654,542.08/19,347.68
  6. Step 6: Final answer
    x = 24,171.09

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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.