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Finding the Fourth Proportional to 13,121, 18,107.32 and 8,088.54

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Solution

The fourth proportional to 13,121, 18,107.32 and 8,088.54 is: 11,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121 : 18,107.32 = 8,088.54 : x
  2. Step 2: Convert to fraction form
    13,121/18,107.32 = 8,088.54/x
  3. Step 3: Cross multiply
    13,121x = 18,107.32 × 8,088.54
  4. Step 4: Simplify right side
    13,121x = 146,461,782.11
  5. Step 5: Solve for x
    x = 146,461,782.11/13,121
  6. Step 6: Final answer
    x = 11,162.39

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Why These Related Problems?

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