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Finding the Fourth Proportional to 12,675.20, 17,492.64 and 7,085.12

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Solution

The fourth proportional to 12,675.20, 17,492.64 and 7,085.12 is: 9,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.20 : 17,492.64 = 7,085.12 : x
  2. Step 2: Convert to fraction form
    12,675.20/17,492.64 = 7,085.12/x
  3. Step 3: Cross multiply
    12,675.20x = 17,492.64 × 7,085.12
  4. Step 4: Simplify right side
    12,675.20x = 123,937,453.52
  5. Step 5: Solve for x
    x = 123,937,453.52/12,675.20
  6. Step 6: Final answer
    x = 9,777.95

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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.