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Finding the Fourth Proportional to 19,714.36, 29,678 and 17,970.52

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Solution

The fourth proportional to 19,714.36, 29,678 and 17,970.52 is: 27,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.36 : 29,678 = 17,970.52 : x
  2. Step 2: Convert to fraction form
    19,714.36/29,678 = 17,970.52/x
  3. Step 3: Cross multiply
    19,714.36x = 29,678 × 17,970.52
  4. Step 4: Simplify right side
    19,714.36x = 533,329,092.56
  5. Step 5: Solve for x
    x = 533,329,092.56/19,714.36
  6. Step 6: Final answer
    x = 27,052.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.