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Finding the Fourth Proportional to 24,698.42, 34,080.64 and 14,087.42

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Solution

The fourth proportional to 24,698.42, 34,080.64 and 14,087.42 is: 19,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.42 : 34,080.64 = 14,087.42 : x
  2. Step 2: Convert to fraction form
    24,698.42/34,080.64 = 14,087.42/x
  3. Step 3: Cross multiply
    24,698.42x = 34,080.64 × 14,087.42
  4. Step 4: Simplify right side
    24,698.42x = 480,108,083.93
  5. Step 5: Solve for x
    x = 480,108,083.93/24,698.42
  6. Step 6: Final answer
    x = 19,438.82

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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.