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Finding the Fourth Proportional to 12,503.75, 17,255.61 and 8,421.06

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Solution

The fourth proportional to 12,503.75, 17,255.61 and 8,421.06 is: 11,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.75 : 17,255.61 = 8,421.06 : x
  2. Step 2: Convert to fraction form
    12,503.75/17,255.61 = 8,421.06/x
  3. Step 3: Cross multiply
    12,503.75x = 17,255.61 × 8,421.06
  4. Step 4: Simplify right side
    12,503.75x = 145,310,527.15
  5. Step 5: Solve for x
    x = 145,310,527.15/12,503.75
  6. Step 6: Final answer
    x = 11,621.36

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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.