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Finding the Fourth Proportional to 14,378.34, 19,841.04 and 8,089.50

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Solution

The fourth proportional to 14,378.34, 19,841.04 and 8,089.50 is: 11,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.34 : 19,841.04 = 8,089.50 : x
  2. Step 2: Convert to fraction form
    14,378.34/19,841.04 = 8,089.50/x
  3. Step 3: Cross multiply
    14,378.34x = 19,841.04 × 8,089.50
  4. Step 4: Simplify right side
    14,378.34x = 160,504,093.08
  5. Step 5: Solve for x
    x = 160,504,093.08/14,378.34
  6. Step 6: Final answer
    x = 11,162.91

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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.