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Finding the Fourth Proportional to 13,722.36, 18,929.90 and 8,678.08

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Solution

The fourth proportional to 13,722.36, 18,929.90 and 8,678.08 is: 11,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.36 : 18,929.90 = 8,678.08 : x
  2. Step 2: Convert to fraction form
    13,722.36/18,929.90 = 8,678.08/x
  3. Step 3: Cross multiply
    13,722.36x = 18,929.90 × 8,678.08
  4. Step 4: Simplify right side
    13,722.36x = 164,275,186.59
  5. Step 5: Solve for x
    x = 164,275,186.59/13,722.36
  6. Step 6: Final answer
    x = 11,971.35

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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.