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Finding the Fourth Proportional to 13,740.90, 20,597.04 and 10,447.08

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Solution

The fourth proportional to 13,740.90, 20,597.04 and 10,447.08 is: 15,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.90 : 20,597.04 = 10,447.08 : x
  2. Step 2: Convert to fraction form
    13,740.90/20,597.04 = 10,447.08/x
  3. Step 3: Cross multiply
    13,740.90x = 20,597.04 × 10,447.08
  4. Step 4: Simplify right side
    13,740.90x = 215,178,924.64
  5. Step 5: Solve for x
    x = 215,178,924.64/13,740.90
  6. Step 6: Final answer
    x = 15,659.74

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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.