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Finding the Fourth Proportional to 14,701.68, 20,283.72 and 8,412.84

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Solution

The fourth proportional to 14,701.68, 20,283.72 and 8,412.84 is: 11,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.68 : 20,283.72 = 8,412.84 : x
  2. Step 2: Convert to fraction form
    14,701.68/20,283.72 = 8,412.84/x
  3. Step 3: Cross multiply
    14,701.68x = 20,283.72 × 8,412.84
  4. Step 4: Simplify right side
    14,701.68x = 170,643,690.96
  5. Step 5: Solve for x
    x = 170,643,690.96/14,701.68
  6. Step 6: Final answer
    x = 11,607.09

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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.