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Finding the Fourth Proportional to 13,822.69, 20,730.99 and 5,501.16

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Solution

The fourth proportional to 13,822.69, 20,730.99 and 5,501.16 is: 8,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.69 : 20,730.99 = 5,501.16 : x
  2. Step 2: Convert to fraction form
    13,822.69/20,730.99 = 5,501.16/x
  3. Step 3: Cross multiply
    13,822.69x = 20,730.99 × 5,501.16
  4. Step 4: Simplify right side
    13,822.69x = 114,044,492.95
  5. Step 5: Solve for x
    x = 114,044,492.95/13,822.69
  6. Step 6: Final answer
    x = 8,250.53

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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.