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Finding the Fourth Proportional to 16,901.31, 23,323.38 and 9,347.46

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Solution

The fourth proportional to 16,901.31, 23,323.38 and 9,347.46 is: 12,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.31 : 23,323.38 = 9,347.46 : x
  2. Step 2: Convert to fraction form
    16,901.31/23,323.38 = 9,347.46/x
  3. Step 3: Cross multiply
    16,901.31x = 23,323.38 × 9,347.46
  4. Step 4: Simplify right side
    16,901.31x = 218,014,291.68
  5. Step 5: Solve for x
    x = 218,014,291.68/16,901.31
  6. Step 6: Final answer
    x = 12,899.25

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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.