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Finding the Fourth Proportional to 16,707.94, 23,056.34 and 9,538.22

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Solution

The fourth proportional to 16,707.94, 23,056.34 and 9,538.22 is: 13,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.94 : 23,056.34 = 9,538.22 : x
  2. Step 2: Convert to fraction form
    16,707.94/23,056.34 = 9,538.22/x
  3. Step 3: Cross multiply
    16,707.94x = 23,056.34 × 9,538.22
  4. Step 4: Simplify right side
    16,707.94x = 219,916,443.31
  5. Step 5: Solve for x
    x = 219,916,443.31/16,707.94
  6. Step 6: Final answer
    x = 13,162.39

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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.