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Finding the Fourth Proportional to 14,195.45, 21,277.89 and 6,784.16

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Solution

The fourth proportional to 14,195.45, 21,277.89 and 6,784.16 is: 10,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.45 : 21,277.89 = 6,784.16 : x
  2. Step 2: Convert to fraction form
    14,195.45/21,277.89 = 6,784.16/x
  3. Step 3: Cross multiply
    14,195.45x = 21,277.89 × 6,784.16
  4. Step 4: Simplify right side
    14,195.45x = 144,352,503.83
  5. Step 5: Solve for x
    x = 144,352,503.83/14,195.45
  6. Step 6: Final answer
    x = 10,168.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.