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Finding the Fourth Proportional to 14,014.84, 19,350.36 and 8,992

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Solution

The fourth proportional to 14,014.84, 19,350.36 and 8,992 is: 12,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.84 : 19,350.36 = 8,992 : x
  2. Step 2: Convert to fraction form
    14,014.84/19,350.36 = 8,992/x
  3. Step 3: Cross multiply
    14,014.84x = 19,350.36 × 8,992
  4. Step 4: Simplify right side
    14,014.84x = 173,998,437.12
  5. Step 5: Solve for x
    x = 173,998,437.12/14,014.84
  6. Step 6: Final answer
    x = 12,415.30

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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.