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Finding the Fourth Proportional to 14,164.67, 21,228.53 and 5,836.30

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Solution

The fourth proportional to 14,164.67, 21,228.53 and 5,836.30 is: 8,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.67 : 21,228.53 = 5,836.30 : x
  2. Step 2: Convert to fraction form
    14,164.67/21,228.53 = 5,836.30/x
  3. Step 3: Cross multiply
    14,164.67x = 21,228.53 × 5,836.30
  4. Step 4: Simplify right side
    14,164.67x = 123,896,139.63
  5. Step 5: Solve for x
    x = 123,896,139.63/14,164.67
  6. Step 6: Final answer
    x = 8,746.84

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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.