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Finding the Fourth Proportional to 13,294.14, 19,942.02 and 4,973.94

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Solution

The fourth proportional to 13,294.14, 19,942.02 and 4,973.94 is: 7,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.14 : 19,942.02 = 4,973.94 : x
  2. Step 2: Convert to fraction form
    13,294.14/19,942.02 = 4,973.94/x
  3. Step 3: Cross multiply
    13,294.14x = 19,942.02 × 4,973.94
  4. Step 4: Simplify right side
    13,294.14x = 99,190,410.96
  5. Step 5: Solve for x
    x = 99,190,410.96/13,294.14
  6. Step 6: Final answer
    x = 7,461.21

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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.