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Finding the Fourth Proportional to 12,489.64, 17,235.69 and 6,900.64

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Solution

The fourth proportional to 12,489.64, 17,235.69 and 6,900.64 is: 9,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.64 : 17,235.69 = 6,900.64 : x
  2. Step 2: Convert to fraction form
    12,489.64/17,235.69 = 6,900.64/x
  3. Step 3: Cross multiply
    12,489.64x = 17,235.69 × 6,900.64
  4. Step 4: Simplify right side
    12,489.64x = 118,937,291.84
  5. Step 5: Solve for x
    x = 118,937,291.84/12,489.64
  6. Step 6: Final answer
    x = 9,522.88

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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.