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Finding the Fourth Proportional to 25,164.68, 34,727.67 and 14,409.50

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Solution

The fourth proportional to 25,164.68, 34,727.67 and 14,409.50 is: 19,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164.68 : 34,727.67 = 14,409.50 : x
  2. Step 2: Convert to fraction form
    25,164.68/34,727.67 = 14,409.50/x
  3. Step 3: Cross multiply
    25,164.68x = 34,727.67 × 14,409.50
  4. Step 4: Simplify right side
    25,164.68x = 500,408,187.23
  5. Step 5: Solve for x
    x = 500,408,187.23/25,164.68
  6. Step 6: Final answer
    x = 19,885.34

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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.