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Finding the Fourth Proportional to 13,794.13, 19,035.96 and 7,506.50

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Solution

The fourth proportional to 13,794.13, 19,035.96 and 7,506.50 is: 10,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.13 : 19,035.96 = 7,506.50 : x
  2. Step 2: Convert to fraction form
    13,794.13/19,035.96 = 7,506.50/x
  3. Step 3: Cross multiply
    13,794.13x = 19,035.96 × 7,506.50
  4. Step 4: Simplify right side
    13,794.13x = 142,893,433.74
  5. Step 5: Solve for x
    x = 142,893,433.74/13,794.13
  6. Step 6: Final answer
    x = 10,359.01

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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.