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Finding the Fourth Proportional to 23,754.17, 32,780.22 and 12,998.99

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Solution

The fourth proportional to 23,754.17, 32,780.22 and 12,998.99 is: 17,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.17 : 32,780.22 = 12,998.99 : x
  2. Step 2: Convert to fraction form
    23,754.17/32,780.22 = 12,998.99/x
  3. Step 3: Cross multiply
    23,754.17x = 32,780.22 × 12,998.99
  4. Step 4: Simplify right side
    23,754.17x = 426,109,588.08
  5. Step 5: Solve for x
    x = 426,109,588.08/23,754.17
  6. Step 6: Final answer
    x = 17,938.31

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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.