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Finding the Fourth Proportional to 14,596.20, 21,886.20 and 6,274.80

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Solution

The fourth proportional to 14,596.20, 21,886.20 and 6,274.80 is: 9,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.20 : 21,886.20 = 6,274.80 : x
  2. Step 2: Convert to fraction form
    14,596.20/21,886.20 = 6,274.80/x
  3. Step 3: Cross multiply
    14,596.20x = 21,886.20 × 6,274.80
  4. Step 4: Simplify right side
    14,596.20x = 137,331,527.76
  5. Step 5: Solve for x
    x = 137,331,527.76/14,596.20
  6. Step 6: Final answer
    x = 9,408.72

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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.