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Finding the Fourth Proportional to 13,328.64, 18,394.56 and 7,740.48

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Solution

The fourth proportional to 13,328.64, 18,394.56 and 7,740.48 is: 10,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.64 : 18,394.56 = 7,740.48 : x
  2. Step 2: Convert to fraction form
    13,328.64/18,394.56 = 7,740.48/x
  3. Step 3: Cross multiply
    13,328.64x = 18,394.56 × 7,740.48
  4. Step 4: Simplify right side
    13,328.64x = 142,382,723.79
  5. Step 5: Solve for x
    x = 142,382,723.79/13,328.64
  6. Step 6: Final answer
    x = 10,682.46

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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.