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Finding the Fourth Proportional to 13,209.60, 19,800 and 5,416.32

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Solution

The fourth proportional to 13,209.60, 19,800 and 5,416.32 is: 8,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.60 : 19,800 = 5,416.32 : x
  2. Step 2: Convert to fraction form
    13,209.60/19,800 = 5,416.32/x
  3. Step 3: Cross multiply
    13,209.60x = 19,800 × 5,416.32
  4. Step 4: Simplify right side
    13,209.60x = 107,243,136
  5. Step 5: Solve for x
    x = 107,243,136/13,209.60
  6. Step 6: Final answer
    x = 8,118.58

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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.