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Finding the Fourth Proportional to 13,090, 18,023.12 and 11,555.36

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Solution

The fourth proportional to 13,090, 18,023.12 and 11,555.36 is: 15,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090 : 18,023.12 = 11,555.36 : x
  2. Step 2: Convert to fraction form
    13,090/18,023.12 = 11,555.36/x
  3. Step 3: Cross multiply
    13,090x = 18,023.12 × 11,555.36
  4. Step 4: Simplify right side
    13,090x = 208,263,639.92
  5. Step 5: Solve for x
    x = 208,263,639.92/13,090
  6. Step 6: Final answer
    x = 15,910.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.