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Finding the Fourth Proportional to 21,203.16, 31,744.26 and 16,827

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Solution

The fourth proportional to 21,203.16, 31,744.26 and 16,827 is: 25,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.16 : 31,744.26 = 16,827 : x
  2. Step 2: Convert to fraction form
    21,203.16/31,744.26 = 16,827/x
  3. Step 3: Cross multiply
    21,203.16x = 31,744.26 × 16,827
  4. Step 4: Simplify right side
    21,203.16x = 534,160,663.02
  5. Step 5: Solve for x
    x = 534,160,663.02/21,203.16
  6. Step 6: Final answer
    x = 25,192.50

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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.