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Finding the Fourth Proportional to 25,558.41, 35,266.71 and 14,655

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Solution

The fourth proportional to 25,558.41, 35,266.71 and 14,655 is: 20,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.41 : 35,266.71 = 14,655 : x
  2. Step 2: Convert to fraction form
    25,558.41/35,266.71 = 14,655/x
  3. Step 3: Cross multiply
    25,558.41x = 35,266.71 × 14,655
  4. Step 4: Simplify right side
    25,558.41x = 516,833,635.05
  5. Step 5: Solve for x
    x = 516,833,635.05/25,558.41
  6. Step 6: Final answer
    x = 20,221.67

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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.