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Finding the Fourth Proportional to 14,311.08, 21,461.76 and 5,543.64

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Solution

The fourth proportional to 14,311.08, 21,461.76 and 5,543.64 is: 8,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.08 : 21,461.76 = 5,543.64 : x
  2. Step 2: Convert to fraction form
    14,311.08/21,461.76 = 5,543.64/x
  3. Step 3: Cross multiply
    14,311.08x = 21,461.76 × 5,543.64
  4. Step 4: Simplify right side
    14,311.08x = 118,976,271.21
  5. Step 5: Solve for x
    x = 118,976,271.21/14,311.08
  6. Step 6: Final answer
    x = 8,313.58

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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.