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Finding the Fourth Proportional to 14,447.94, 21,666.42 and 5,678.07

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Solution

The fourth proportional to 14,447.94, 21,666.42 and 5,678.07 is: 8,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.94 : 21,666.42 = 5,678.07 : x
  2. Step 2: Convert to fraction form
    14,447.94/21,666.42 = 5,678.07/x
  3. Step 3: Cross multiply
    14,447.94x = 21,666.42 × 5,678.07
  4. Step 4: Simplify right side
    14,447.94x = 123,023,449.41
  5. Step 5: Solve for x
    x = 123,023,449.41/14,447.94
  6. Step 6: Final answer
    x = 8,514.95

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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.