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Finding the Fourth Proportional to 14,085.87, 19,432.81 and 8,114.35

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Solution

The fourth proportional to 14,085.87, 19,432.81 and 8,114.35 is: 11,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.87 : 19,432.81 = 8,114.35 : x
  2. Step 2: Convert to fraction form
    14,085.87/19,432.81 = 8,114.35/x
  3. Step 3: Cross multiply
    14,085.87x = 19,432.81 × 8,114.35
  4. Step 4: Simplify right side
    14,085.87x = 157,684,621.82
  5. Step 5: Solve for x
    x = 157,684,621.82/14,085.87
  6. Step 6: Final answer
    x = 11,194.52

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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.