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Finding the Fourth Proportional to 13,697.64, 18,904.62 and 7,731.72

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Solution

The fourth proportional to 13,697.64, 18,904.62 and 7,731.72 is: 10,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.64 : 18,904.62 = 7,731.72 : x
  2. Step 2: Convert to fraction form
    13,697.64/18,904.62 = 7,731.72/x
  3. Step 3: Cross multiply
    13,697.64x = 18,904.62 × 7,731.72
  4. Step 4: Simplify right side
    13,697.64x = 146,165,228.55
  5. Step 5: Solve for x
    x = 146,165,228.55/13,697.64
  6. Step 6: Final answer
    x = 10,670.83

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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.