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Finding the Fourth Proportional to 34,128.96, 51,197.76 and 13,349.76

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Solution

The fourth proportional to 34,128.96, 51,197.76 and 13,349.76 is: 20,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128.96 : 51,197.76 = 13,349.76 : x
  2. Step 2: Convert to fraction form
    34,128.96/51,197.76 = 13,349.76/x
  3. Step 3: Cross multiply
    34,128.96x = 51,197.76 × 13,349.76
  4. Step 4: Simplify right side
    34,128.96x = 683,477,808.54
  5. Step 5: Solve for x
    x = 683,477,808.54/34,128.96
  6. Step 6: Final answer
    x = 20,026.33

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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.