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Finding the Fourth Proportional to 14,604.34, 21,909.66 and 4,742.86

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Solution

The fourth proportional to 14,604.34, 21,909.66 and 4,742.86 is: 7,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.34 : 21,909.66 = 4,742.86 : x
  2. Step 2: Convert to fraction form
    14,604.34/21,909.66 = 4,742.86/x
  3. Step 3: Cross multiply
    14,604.34x = 21,909.66 × 4,742.86
  4. Step 4: Simplify right side
    14,604.34x = 103,914,450.03
  5. Step 5: Solve for x
    x = 103,914,450.03/14,604.34
  6. Step 6: Final answer
    x = 7,115.31

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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.