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Finding the Fourth Proportional to 13,492.35, 18,619.65 and 7,523.82

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Solution

The fourth proportional to 13,492.35, 18,619.65 and 7,523.82 is: 10,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.35 : 18,619.65 = 7,523.82 : x
  2. Step 2: Convert to fraction form
    13,492.35/18,619.65 = 7,523.82/x
  3. Step 3: Cross multiply
    13,492.35x = 18,619.65 × 7,523.82
  4. Step 4: Simplify right side
    13,492.35x = 140,090,895.06
  5. Step 5: Solve for x
    x = 140,090,895.06/13,492.35
  6. Step 6: Final answer
    x = 10,382.99

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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.