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Finding the Fourth Proportional to 14,539, 21,811.32 and 4,678.42

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Solution

The fourth proportional to 14,539, 21,811.32 and 4,678.42 is: 7,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539 : 21,811.32 = 4,678.42 : x
  2. Step 2: Convert to fraction form
    14,539/21,811.32 = 4,678.42/x
  3. Step 3: Cross multiply
    14,539x = 21,811.32 × 4,678.42
  4. Step 4: Simplify right side
    14,539x = 102,042,515.71
  5. Step 5: Solve for x
    x = 102,042,515.71/14,539
  6. Step 6: Final answer
    x = 7,018.54

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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.