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Finding the Fourth Proportional to 16,129.58, 22,254.92 and 9,411.37

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Solution

The fourth proportional to 16,129.58, 22,254.92 and 9,411.37 is: 12,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.58 : 22,254.92 = 9,411.37 : x
  2. Step 2: Convert to fraction form
    16,129.58/22,254.92 = 9,411.37/x
  3. Step 3: Cross multiply
    16,129.58x = 22,254.92 × 9,411.37
  4. Step 4: Simplify right side
    16,129.58x = 209,449,219.04
  5. Step 5: Solve for x
    x = 209,449,219.04/16,129.58
  6. Step 6: Final answer
    x = 12,985.41

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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.