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Finding the Fourth Proportional to 12,056.98, 18,089.43 and 7,609.50

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Solution

The fourth proportional to 12,056.98, 18,089.43 and 7,609.50 is: 11,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.98 : 18,089.43 = 7,609.50 : x
  2. Step 2: Convert to fraction form
    12,056.98/18,089.43 = 7,609.50/x
  3. Step 3: Cross multiply
    12,056.98x = 18,089.43 × 7,609.50
  4. Step 4: Simplify right side
    12,056.98x = 137,651,517.59
  5. Step 5: Solve for x
    x = 137,651,517.59/12,056.98
  6. Step 6: Final answer
    x = 11,416.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.