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Finding the Fourth Proportional to 14,881.33, 22,322 and 11,596.88

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Solution

The fourth proportional to 14,881.33, 22,322 and 11,596.88 is: 17,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.33 : 22,322 = 11,596.88 : x
  2. Step 2: Convert to fraction form
    14,881.33/22,322 = 11,596.88/x
  3. Step 3: Cross multiply
    14,881.33x = 22,322 × 11,596.88
  4. Step 4: Simplify right side
    14,881.33x = 258,865,555.36
  5. Step 5: Solve for x
    x = 258,865,555.36/14,881.33
  6. Step 6: Final answer
    x = 17,395.32

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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.