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Finding the Fourth Proportional to 12,549.84, 17,326.08 and 9,380.64

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Solution

The fourth proportional to 12,549.84, 17,326.08 and 9,380.64 is: 12,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.84 : 17,326.08 = 9,380.64 : x
  2. Step 2: Convert to fraction form
    12,549.84/17,326.08 = 9,380.64/x
  3. Step 3: Cross multiply
    12,549.84x = 17,326.08 × 9,380.64
  4. Step 4: Simplify right side
    12,549.84x = 162,529,719.09
  5. Step 5: Solve for x
    x = 162,529,719.09/12,549.84
  6. Step 6: Final answer
    x = 12,950.74

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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.