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Finding the Fourth Proportional to 14,085.68, 19,438.50 and 8,116.34

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Solution

The fourth proportional to 14,085.68, 19,438.50 and 8,116.34 is: 11,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.68 : 19,438.50 = 8,116.34 : x
  2. Step 2: Convert to fraction form
    14,085.68/19,438.50 = 8,116.34/x
  3. Step 3: Cross multiply
    14,085.68x = 19,438.50 × 8,116.34
  4. Step 4: Simplify right side
    14,085.68x = 157,769,475.09
  5. Step 5: Solve for x
    x = 157,769,475.09/14,085.68
  6. Step 6: Final answer
    x = 11,200.70

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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.