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Finding the Fourth Proportional to 13,564.20, 19,015.80 and 13,564.20

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Solution

The fourth proportional to 13,564.20, 19,015.80 and 13,564.20 is: 19,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.20 : 19,015.80 = 13,564.20 : x
  2. Step 2: Convert to fraction form
    13,564.20/19,015.80 = 13,564.20/x
  3. Step 3: Cross multiply
    13,564.20x = 19,015.80 × 13,564.20
  4. Step 4: Simplify right side
    13,564.20x = 257,934,114.36
  5. Step 5: Solve for x
    x = 257,934,114.36/13,564.20
  6. Step 6: Final answer
    x = 19,015.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.