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Finding the Fourth Proportional to 14,566.52, 21,850.60 and 4,178

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Solution

The fourth proportional to 14,566.52, 21,850.60 and 4,178 is: 6,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.52 : 21,850.60 = 4,178 : x
  2. Step 2: Convert to fraction form
    14,566.52/21,850.60 = 4,178/x
  3. Step 3: Cross multiply
    14,566.52x = 21,850.60 × 4,178
  4. Step 4: Simplify right side
    14,566.52x = 91,291,806.80
  5. Step 5: Solve for x
    x = 91,291,806.80/14,566.52
  6. Step 6: Final answer
    x = 6,267.24

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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.