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Finding the Fourth Proportional to 13,459.10, 20,176.23 and 7,223.48

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Solution

The fourth proportional to 13,459.10, 20,176.23 and 7,223.48 is: 10,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.10 : 20,176.23 = 7,223.48 : x
  2. Step 2: Convert to fraction form
    13,459.10/20,176.23 = 7,223.48/x
  3. Step 3: Cross multiply
    13,459.10x = 20,176.23 × 7,223.48
  4. Step 4: Simplify right side
    13,459.10x = 145,742,593.88
  5. Step 5: Solve for x
    x = 145,742,593.88/13,459.10
  6. Step 6: Final answer
    x = 10,828.55

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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.