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Finding the Fourth Proportional to 12,164.94, 18,235.26 and 10,492.29

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Solution

The fourth proportional to 12,164.94, 18,235.26 and 10,492.29 is: 15,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.94 : 18,235.26 = 10,492.29 : x
  2. Step 2: Convert to fraction form
    12,164.94/18,235.26 = 10,492.29/x
  3. Step 3: Cross multiply
    12,164.94x = 18,235.26 × 10,492.29
  4. Step 4: Simplify right side
    12,164.94x = 191,329,636.15
  5. Step 5: Solve for x
    x = 191,329,636.15/12,164.94
  6. Step 6: Final answer
    x = 15,727.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.