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Finding the Fourth Proportional to 13,722.36, 18,929.88 and 8,678.07

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Solution

The fourth proportional to 13,722.36, 18,929.88 and 8,678.07 is: 11,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.36 : 18,929.88 = 8,678.07 : x
  2. Step 2: Convert to fraction form
    13,722.36/18,929.88 = 8,678.07/x
  3. Step 3: Cross multiply
    13,722.36x = 18,929.88 × 8,678.07
  4. Step 4: Simplify right side
    13,722.36x = 164,274,823.73
  5. Step 5: Solve for x
    x = 164,274,823.73/13,722.36
  6. Step 6: Final answer
    x = 11,971.32

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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.