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Finding the Fourth Proportional to 13,503.80, 18,630.05 and 8,459.24

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Solution

The fourth proportional to 13,503.80, 18,630.05 and 8,459.24 is: 11,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.80 : 18,630.05 = 8,459.24 : x
  2. Step 2: Convert to fraction form
    13,503.80/18,630.05 = 8,459.24/x
  3. Step 3: Cross multiply
    13,503.80x = 18,630.05 × 8,459.24
  4. Step 4: Simplify right side
    13,503.80x = 157,595,928.72
  5. Step 5: Solve for x
    x = 157,595,928.72/13,503.80
  6. Step 6: Final answer
    x = 11,670.49

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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.