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Finding the Fourth Proportional to 14,310.84, 19,744.74 and 8,341.32

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Solution

The fourth proportional to 14,310.84, 19,744.74 and 8,341.32 is: 11,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.84 : 19,744.74 = 8,341.32 : x
  2. Step 2: Convert to fraction form
    14,310.84/19,744.74 = 8,341.32/x
  3. Step 3: Cross multiply
    14,310.84x = 19,744.74 × 8,341.32
  4. Step 4: Simplify right side
    14,310.84x = 164,697,194.66
  5. Step 5: Solve for x
    x = 164,697,194.66/14,310.84
  6. Step 6: Final answer
    x = 11,508.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.