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Finding the Fourth Proportional to 13,410.90, 20,116.35 and 11,564.10

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Solution

The fourth proportional to 13,410.90, 20,116.35 and 11,564.10 is: 17,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.90 : 20,116.35 = 11,564.10 : x
  2. Step 2: Convert to fraction form
    13,410.90/20,116.35 = 11,564.10/x
  3. Step 3: Cross multiply
    13,410.90x = 20,116.35 × 11,564.10
  4. Step 4: Simplify right side
    13,410.90x = 232,627,483.04
  5. Step 5: Solve for x
    x = 232,627,483.04/13,410.90
  6. Step 6: Final answer
    x = 17,346.15

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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.