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Finding the Fourth Proportional to 13,697.64, 20,527.56 and 7,841.88

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Solution

The fourth proportional to 13,697.64, 20,527.56 and 7,841.88 is: 11,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.64 : 20,527.56 = 7,841.88 : x
  2. Step 2: Convert to fraction form
    13,697.64/20,527.56 = 7,841.88/x
  3. Step 3: Cross multiply
    13,697.64x = 20,527.56 × 7,841.88
  4. Step 4: Simplify right side
    13,697.64x = 160,974,662.21
  5. Step 5: Solve for x
    x = 160,974,662.21/13,697.64
  6. Step 6: Final answer
    x = 11,752.00

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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.