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Finding the Fourth Proportional to 12,430.50, 17,154.09 and 6,841.50

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Solution

The fourth proportional to 12,430.50, 17,154.09 and 6,841.50 is: 9,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.50 : 17,154.09 = 6,841.50 : x
  2. Step 2: Convert to fraction form
    12,430.50/17,154.09 = 6,841.50/x
  3. Step 3: Cross multiply
    12,430.50x = 17,154.09 × 6,841.50
  4. Step 4: Simplify right side
    12,430.50x = 117,359,706.74
  5. Step 5: Solve for x
    x = 117,359,706.74/12,430.50
  6. Step 6: Final answer
    x = 9,441.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.