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Finding the Fourth Proportional to 14,283.42, 19,706.57 and 9,251.50

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Solution

The fourth proportional to 14,283.42, 19,706.57 and 9,251.50 is: 12,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.42 : 19,706.57 = 9,251.50 : x
  2. Step 2: Convert to fraction form
    14,283.42/19,706.57 = 9,251.50/x
  3. Step 3: Cross multiply
    14,283.42x = 19,706.57 × 9,251.50
  4. Step 4: Simplify right side
    14,283.42x = 182,315,282.45
  5. Step 5: Solve for x
    x = 182,315,282.45/14,283.42
  6. Step 6: Final answer
    x = 12,764.12

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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.