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Finding the Fourth Proportional to 13,668.36, 20,503.28 and 7,830.60

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Solution

The fourth proportional to 13,668.36, 20,503.28 and 7,830.60 is: 11,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.36 : 20,503.28 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    13,668.36/20,503.28 = 7,830.60/x
  3. Step 3: Cross multiply
    13,668.36x = 20,503.28 × 7,830.60
  4. Step 4: Simplify right side
    13,668.36x = 160,552,984.37
  5. Step 5: Solve for x
    x = 160,552,984.37/13,668.36
  6. Step 6: Final answer
    x = 11,746.32

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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.