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Finding the Fourth Proportional to 18,657.59, 25,727.74 and 14,409.34

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Solution

The fourth proportional to 18,657.59, 25,727.74 and 14,409.34 is: 19,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.59 : 25,727.74 = 14,409.34 : x
  2. Step 2: Convert to fraction form
    18,657.59/25,727.74 = 14,409.34/x
  3. Step 3: Cross multiply
    18,657.59x = 25,727.74 × 14,409.34
  4. Step 4: Simplify right side
    18,657.59x = 370,719,753.09
  5. Step 5: Solve for x
    x = 370,719,753.09/18,657.59
  6. Step 6: Final answer
    x = 19,869.65

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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.