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Finding the Fourth Proportional to 19,920.50, 27,492.12 and 10,969.82

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Solution

The fourth proportional to 19,920.50, 27,492.12 and 10,969.82 is: 15,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.50 : 27,492.12 = 10,969.82 : x
  2. Step 2: Convert to fraction form
    19,920.50/27,492.12 = 10,969.82/x
  3. Step 3: Cross multiply
    19,920.50x = 27,492.12 × 10,969.82
  4. Step 4: Simplify right side
    19,920.50x = 301,583,607.82
  5. Step 5: Solve for x
    x = 301,583,607.82/19,920.50
  6. Step 6: Final answer
    x = 15,139.36

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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.