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Finding the Fourth Proportional to 13,498.54, 20,254.05 and 5,175.79

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Solution

The fourth proportional to 13,498.54, 20,254.05 and 5,175.79 is: 7,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.54 : 20,254.05 = 5,175.79 : x
  2. Step 2: Convert to fraction form
    13,498.54/20,254.05 = 5,175.79/x
  3. Step 3: Cross multiply
    13,498.54x = 20,254.05 × 5,175.79
  4. Step 4: Simplify right side
    13,498.54x = 104,830,658.81
  5. Step 5: Solve for x
    x = 104,830,658.81/13,498.54
  6. Step 6: Final answer
    x = 7,766.08

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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.