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Finding the Fourth Proportional to 24,699.92, 34,087.84 and 14,087.12

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Solution

The fourth proportional to 24,699.92, 34,087.84 and 14,087.12 is: 19,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.92 : 34,087.84 = 14,087.12 : x
  2. Step 2: Convert to fraction form
    24,699.92/34,087.84 = 14,087.12/x
  3. Step 3: Cross multiply
    24,699.92x = 34,087.84 × 14,087.12
  4. Step 4: Simplify right side
    24,699.92x = 480,199,492.62
  5. Step 5: Solve for x
    x = 480,199,492.62/24,699.92
  6. Step 6: Final answer
    x = 19,441.34

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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.