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Finding the Fourth Proportional to 14,141.90, 19,513.65 and 8,172.41

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Solution

The fourth proportional to 14,141.90, 19,513.65 and 8,172.41 is: 11,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.90 : 19,513.65 = 8,172.41 : x
  2. Step 2: Convert to fraction form
    14,141.90/19,513.65 = 8,172.41/x
  3. Step 3: Cross multiply
    14,141.90x = 19,513.65 × 8,172.41
  4. Step 4: Simplify right side
    14,141.90x = 159,473,548.40
  5. Step 5: Solve for x
    x = 159,473,548.40/14,141.90
  6. Step 6: Final answer
    x = 11,276.67

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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.