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Finding the Fourth Proportional to 14,121.58, 19,487.79 and 7,833.96

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Solution

The fourth proportional to 14,121.58, 19,487.79 and 7,833.96 is: 10,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.58 : 19,487.79 = 7,833.96 : x
  2. Step 2: Convert to fraction form
    14,121.58/19,487.79 = 7,833.96/x
  3. Step 3: Cross multiply
    14,121.58x = 19,487.79 × 7,833.96
  4. Step 4: Simplify right side
    14,121.58x = 152,666,567.35
  5. Step 5: Solve for x
    x = 152,666,567.35/14,121.58
  6. Step 6: Final answer
    x = 10,810.87

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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.