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Finding the Fourth Proportional to 13,051.80, 19,592.10 and 7,219.80

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Solution

The fourth proportional to 13,051.80, 19,592.10 and 7,219.80 is: 10,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.80 : 19,592.10 = 7,219.80 : x
  2. Step 2: Convert to fraction form
    13,051.80/19,592.10 = 7,219.80/x
  3. Step 3: Cross multiply
    13,051.80x = 19,592.10 × 7,219.80
  4. Step 4: Simplify right side
    13,051.80x = 141,451,043.58
  5. Step 5: Solve for x
    x = 141,451,043.58/13,051.80
  6. Step 6: Final answer
    x = 10,837.67

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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.