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Finding the Fourth Proportional to 12,994.60, 17,932.74 and 7,405.48

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Solution

The fourth proportional to 12,994.60, 17,932.74 and 7,405.48 is: 10,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.60 : 17,932.74 = 7,405.48 : x
  2. Step 2: Convert to fraction form
    12,994.60/17,932.74 = 7,405.48/x
  3. Step 3: Cross multiply
    12,994.60x = 17,932.74 × 7,405.48
  4. Step 4: Simplify right side
    12,994.60x = 132,800,547.42
  5. Step 5: Solve for x
    x = 132,800,547.42/12,994.60
  6. Step 6: Final answer
    x = 10,219.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.