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Finding the Fourth Proportional to 14,125.44, 19,493.71 and 7,837.81

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Solution

The fourth proportional to 14,125.44, 19,493.71 and 7,837.81 is: 10,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.44 : 19,493.71 = 7,837.81 : x
  2. Step 2: Convert to fraction form
    14,125.44/19,493.71 = 7,837.81/x
  3. Step 3: Cross multiply
    14,125.44x = 19,493.71 × 7,837.81
  4. Step 4: Simplify right side
    14,125.44x = 152,788,063.50
  5. Step 5: Solve for x
    x = 152,788,063.50/14,125.44
  6. Step 6: Final answer
    x = 10,816.52

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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.