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Finding the Fourth Proportional to 13,508.54, 20,266.20 and 9,567.51

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Solution

The fourth proportional to 13,508.54, 20,266.20 and 9,567.51 is: 14,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.54 : 20,266.20 = 9,567.51 : x
  2. Step 2: Convert to fraction form
    13,508.54/20,266.20 = 9,567.51/x
  3. Step 3: Cross multiply
    13,508.54x = 20,266.20 × 9,567.51
  4. Step 4: Simplify right side
    13,508.54x = 193,897,071.16
  5. Step 5: Solve for x
    x = 193,897,071.16/13,508.54
  6. Step 6: Final answer
    x = 14,353.67

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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.