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Finding the Fourth Proportional to 19,572.68, 29,285.46 and 11,646

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Solution

The fourth proportional to 19,572.68, 29,285.46 and 11,646 is: 17,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,572.68 : 29,285.46 = 11,646 : x
  2. Step 2: Convert to fraction form
    19,572.68/29,285.46 = 11,646/x
  3. Step 3: Cross multiply
    19,572.68x = 29,285.46 × 11,646
  4. Step 4: Simplify right side
    19,572.68x = 341,058,467.16
  5. Step 5: Solve for x
    x = 341,058,467.16/19,572.68
  6. Step 6: Final answer
    x = 17,425.23

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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.