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Finding the Fourth Proportional to 14,376.09, 19,838.09 and 8,002.35

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Solution

The fourth proportional to 14,376.09, 19,838.09 and 8,002.35 is: 11,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.09 : 19,838.09 = 8,002.35 : x
  2. Step 2: Convert to fraction form
    14,376.09/19,838.09 = 8,002.35/x
  3. Step 3: Cross multiply
    14,376.09x = 19,838.09 × 8,002.35
  4. Step 4: Simplify right side
    14,376.09x = 158,751,299.50
  5. Step 5: Solve for x
    x = 158,751,299.50/14,376.09
  6. Step 6: Final answer
    x = 11,042.73

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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.