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Finding the Fourth Proportional to 13,394.25, 18,482.27 and 7,729.16

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Solution

The fourth proportional to 13,394.25, 18,482.27 and 7,729.16 is: 10,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.25 : 18,482.27 = 7,729.16 : x
  2. Step 2: Convert to fraction form
    13,394.25/18,482.27 = 7,729.16/x
  3. Step 3: Cross multiply
    13,394.25x = 18,482.27 × 7,729.16
  4. Step 4: Simplify right side
    13,394.25x = 142,852,290.94
  5. Step 5: Solve for x
    x = 142,852,290.94/13,394.25
  6. Step 6: Final answer
    x = 10,665.20

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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.