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Finding the Fourth Proportional to 14,568.21, 21,805.32 and 7,538.55

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Solution

The fourth proportional to 14,568.21, 21,805.32 and 7,538.55 is: 11,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.21 : 21,805.32 = 7,538.55 : x
  2. Step 2: Convert to fraction form
    14,568.21/21,805.32 = 7,538.55/x
  3. Step 3: Cross multiply
    14,568.21x = 21,805.32 × 7,538.55
  4. Step 4: Simplify right side
    14,568.21x = 164,380,521.84
  5. Step 5: Solve for x
    x = 164,380,521.84/14,568.21
  6. Step 6: Final answer
    x = 11,283.51

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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.