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Finding the Fourth Proportional to 13,666.36, 20,500.28 and 7,828.60

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Solution

The fourth proportional to 13,666.36, 20,500.28 and 7,828.60 is: 11,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.36 : 20,500.28 = 7,828.60 : x
  2. Step 2: Convert to fraction form
    13,666.36/20,500.28 = 7,828.60/x
  3. Step 3: Cross multiply
    13,666.36x = 20,500.28 × 7,828.60
  4. Step 4: Simplify right side
    13,666.36x = 160,488,492.01
  5. Step 5: Solve for x
    x = 160,488,492.01/13,666.36
  6. Step 6: Final answer
    x = 11,743.32

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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.