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Finding the Fourth Proportional to 13,460.34, 20,192.34 and 4,694.10

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Solution

The fourth proportional to 13,460.34, 20,192.34 and 4,694.10 is: 7,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.34 : 20,192.34 = 4,694.10 : x
  2. Step 2: Convert to fraction form
    13,460.34/20,192.34 = 4,694.10/x
  3. Step 3: Cross multiply
    13,460.34x = 20,192.34 × 4,694.10
  4. Step 4: Simplify right side
    13,460.34x = 94,784,863.19
  5. Step 5: Solve for x
    x = 94,784,863.19/13,460.34
  6. Step 6: Final answer
    x = 7,041.79

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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.