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Finding the Fourth Proportional to 13,459.62, 20,189.24 and 4,694.50

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Solution

The fourth proportional to 13,459.62, 20,189.24 and 4,694.50 is: 7,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.62 : 20,189.24 = 4,694.50 : x
  2. Step 2: Convert to fraction form
    13,459.62/20,189.24 = 4,694.50/x
  3. Step 3: Cross multiply
    13,459.62x = 20,189.24 × 4,694.50
  4. Step 4: Simplify right side
    13,459.62x = 94,778,387.18
  5. Step 5: Solve for x
    x = 94,778,387.18/13,459.62
  6. Step 6: Final answer
    x = 7,041.68

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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.