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Finding the Fourth Proportional to 14,543.64, 21,817.88 and 5,189.05

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Solution

The fourth proportional to 14,543.64, 21,817.88 and 5,189.05 is: 7,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.64 : 21,817.88 = 5,189.05 : x
  2. Step 2: Convert to fraction form
    14,543.64/21,817.88 = 5,189.05/x
  3. Step 3: Cross multiply
    14,543.64x = 21,817.88 × 5,189.05
  4. Step 4: Simplify right side
    14,543.64x = 113,214,070.21
  5. Step 5: Solve for x
    x = 113,214,070.21/14,543.64
  6. Step 6: Final answer
    x = 7,784.44

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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.