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Finding the Fourth Proportional to 14,566.68, 21,850.02 and 4,178.43

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Solution

The fourth proportional to 14,566.68, 21,850.02 and 4,178.43 is: 6,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.68 : 21,850.02 = 4,178.43 : x
  2. Step 2: Convert to fraction form
    14,566.68/21,850.02 = 4,178.43/x
  3. Step 3: Cross multiply
    14,566.68x = 21,850.02 × 4,178.43
  4. Step 4: Simplify right side
    14,566.68x = 91,298,779.07
  5. Step 5: Solve for x
    x = 91,298,779.07/14,566.68
  6. Step 6: Final answer
    x = 6,267.65

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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.