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Finding the Fourth Proportional to 13,444.58, 20,173.25 and 7,209.81

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Solution

The fourth proportional to 13,444.58, 20,173.25 and 7,209.81 is: 10,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.58 : 20,173.25 = 7,209.81 : x
  2. Step 2: Convert to fraction form
    13,444.58/20,173.25 = 7,209.81/x
  3. Step 3: Cross multiply
    13,444.58x = 20,173.25 × 7,209.81
  4. Step 4: Simplify right side
    13,444.58x = 145,445,317.61
  5. Step 5: Solve for x
    x = 145,445,317.61/13,444.58
  6. Step 6: Final answer
    x = 10,818.14

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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.