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Finding the Fourth Proportional to 13,201.60, 19,802.40 and 12,817.60

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Solution

The fourth proportional to 13,201.60, 19,802.40 and 12,817.60 is: 19,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.60 : 19,802.40 = 12,817.60 : x
  2. Step 2: Convert to fraction form
    13,201.60/19,802.40 = 12,817.60/x
  3. Step 3: Cross multiply
    13,201.60x = 19,802.40 × 12,817.60
  4. Step 4: Simplify right side
    13,201.60x = 253,819,242.24
  5. Step 5: Solve for x
    x = 253,819,242.24/13,201.60
  6. Step 6: Final answer
    x = 19,226.40

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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.