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Finding the Fourth Proportional to 14,051.90, 19,397.94 and 8,949.62

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Solution

The fourth proportional to 14,051.90, 19,397.94 and 8,949.62 is: 12,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.90 : 19,397.94 = 8,949.62 : x
  2. Step 2: Convert to fraction form
    14,051.90/19,397.94 = 8,949.62/x
  3. Step 3: Cross multiply
    14,051.90x = 19,397.94 × 8,949.62
  4. Step 4: Simplify right side
    14,051.90x = 173,604,191.78
  5. Step 5: Solve for x
    x = 173,604,191.78/14,051.90
  6. Step 6: Final answer
    x = 12,354.50

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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.