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Finding the Fourth Proportional to 12,492.27, 17,242.81 and 7,188.80

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Solution

The fourth proportional to 12,492.27, 17,242.81 and 7,188.80 is: 9,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.27 : 17,242.81 = 7,188.80 : x
  2. Step 2: Convert to fraction form
    12,492.27/17,242.81 = 7,188.80/x
  3. Step 3: Cross multiply
    12,492.27x = 17,242.81 × 7,188.80
  4. Step 4: Simplify right side
    12,492.27x = 123,955,008.34
  5. Step 5: Solve for x
    x = 123,955,008.34/12,492.27
  6. Step 6: Final answer
    x = 9,922.54

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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.