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Finding the Fourth Proportional to 13,416.86, 20,130.98 and 7,175.25

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Solution

The fourth proportional to 13,416.86, 20,130.98 and 7,175.25 is: 10,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.86 : 20,130.98 = 7,175.25 : x
  2. Step 2: Convert to fraction form
    13,416.86/20,130.98 = 7,175.25/x
  3. Step 3: Cross multiply
    13,416.86x = 20,130.98 × 7,175.25
  4. Step 4: Simplify right side
    13,416.86x = 144,444,818.73
  5. Step 5: Solve for x
    x = 144,444,818.73/13,416.86
  6. Step 6: Final answer
    x = 10,765.92

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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.