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Finding the Fourth Proportional to 13,762.63, 18,992.69 and 7,794.28

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Solution

The fourth proportional to 13,762.63, 18,992.69 and 7,794.28 is: 10,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.63 : 18,992.69 = 7,794.28 : x
  2. Step 2: Convert to fraction form
    13,762.63/18,992.69 = 7,794.28/x
  3. Step 3: Cross multiply
    13,762.63x = 18,992.69 × 7,794.28
  4. Step 4: Simplify right side
    13,762.63x = 148,034,343.81
  5. Step 5: Solve for x
    x = 148,034,343.81/13,762.63
  6. Step 6: Final answer
    x = 10,756.25

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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.