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Finding the Fourth Proportional to 14,539.85, 21,814.02 and 4,678.91

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Solution

The fourth proportional to 14,539.85, 21,814.02 and 4,678.91 is: 7,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.85 : 21,814.02 = 4,678.91 : x
  2. Step 2: Convert to fraction form
    14,539.85/21,814.02 = 4,678.91/x
  3. Step 3: Cross multiply
    14,539.85x = 21,814.02 × 4,678.91
  4. Step 4: Simplify right side
    14,539.85x = 102,065,727.25
  5. Step 5: Solve for x
    x = 102,065,727.25/14,539.85
  6. Step 6: Final answer
    x = 7,019.73

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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.