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Finding the Fourth Proportional to 23,846.91, 32,907.38 and 13,235.91

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Solution

The fourth proportional to 23,846.91, 32,907.38 and 13,235.91 is: 18,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.91 : 32,907.38 = 13,235.91 : x
  2. Step 2: Convert to fraction form
    23,846.91/32,907.38 = 13,235.91/x
  3. Step 3: Cross multiply
    23,846.91x = 32,907.38 × 13,235.91
  4. Step 4: Simplify right side
    23,846.91x = 435,559,053.84
  5. Step 5: Solve for x
    x = 435,559,053.84/23,846.91
  6. Step 6: Final answer
    x = 18,264.80

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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.