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Finding the Fourth Proportional to 14,206.18, 19,604.55 and 7,918.42

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Solution

The fourth proportional to 14,206.18, 19,604.55 and 7,918.42 is: 10,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.18 : 19,604.55 = 7,918.42 : x
  2. Step 2: Convert to fraction form
    14,206.18/19,604.55 = 7,918.42/x
  3. Step 3: Cross multiply
    14,206.18x = 19,604.55 × 7,918.42
  4. Step 4: Simplify right side
    14,206.18x = 155,237,060.81
  5. Step 5: Solve for x
    x = 155,237,060.81/14,206.18
  6. Step 6: Final answer
    x = 10,927.43

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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.