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Finding the Fourth Proportional to 23,366.78, 32,257.74 and 14,419.22

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Solution

The fourth proportional to 23,366.78, 32,257.74 and 14,419.22 is: 19,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366.78 : 32,257.74 = 14,419.22 : x
  2. Step 2: Convert to fraction form
    23,366.78/32,257.74 = 14,419.22/x
  3. Step 3: Cross multiply
    23,366.78x = 32,257.74 × 14,419.22
  4. Step 4: Simplify right side
    23,366.78x = 465,131,342.55
  5. Step 5: Solve for x
    x = 465,131,342.55/23,366.78
  6. Step 6: Final answer
    x = 19,905.67

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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.