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Finding the Fourth Proportional to 14,476.42, 19,975.86 and 8,509.96

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Solution

The fourth proportional to 14,476.42, 19,975.86 and 8,509.96 is: 11,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.42 : 19,975.86 = 8,509.96 : x
  2. Step 2: Convert to fraction form
    14,476.42/19,975.86 = 8,509.96/x
  3. Step 3: Cross multiply
    14,476.42x = 19,975.86 × 8,509.96
  4. Step 4: Simplify right side
    14,476.42x = 169,993,769.57
  5. Step 5: Solve for x
    x = 169,993,769.57/14,476.42
  6. Step 6: Final answer
    x = 11,742.80

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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.