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Finding the Fourth Proportional to 24,698.37, 34,083.84 and 13,368.01

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Solution

The fourth proportional to 24,698.37, 34,083.84 and 13,368.01 is: 18,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.37 : 34,083.84 = 13,368.01 : x
  2. Step 2: Convert to fraction form
    24,698.37/34,083.84 = 13,368.01/x
  3. Step 3: Cross multiply
    24,698.37x = 34,083.84 × 13,368.01
  4. Step 4: Simplify right side
    24,698.37x = 455,633,163.45
  5. Step 5: Solve for x
    x = 455,633,163.45/24,698.37
  6. Step 6: Final answer
    x = 18,447.91

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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.