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Finding the Fourth Proportional to 14,184.42, 21,266.76 and 6,282.65

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Solution

The fourth proportional to 14,184.42, 21,266.76 and 6,282.65 is: 9,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.42 : 21,266.76 = 6,282.65 : x
  2. Step 2: Convert to fraction form
    14,184.42/21,266.76 = 6,282.65/x
  3. Step 3: Cross multiply
    14,184.42x = 21,266.76 × 6,282.65
  4. Step 4: Simplify right side
    14,184.42x = 133,611,503.38
  5. Step 5: Solve for x
    x = 133,611,503.38/14,184.42
  6. Step 6: Final answer
    x = 9,419.60

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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.