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Finding the Fourth Proportional to 12,634.84, 17,431.52 and 7,529.32

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Solution

The fourth proportional to 12,634.84, 17,431.52 and 7,529.32 is: 10,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.84 : 17,431.52 = 7,529.32 : x
  2. Step 2: Convert to fraction form
    12,634.84/17,431.52 = 7,529.32/x
  3. Step 3: Cross multiply
    12,634.84x = 17,431.52 × 7,529.32
  4. Step 4: Simplify right side
    12,634.84x = 131,247,492.17
  5. Step 5: Solve for x
    x = 131,247,492.17/12,634.84
  6. Step 6: Final answer
    x = 10,387.74

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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.