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Finding the Fourth Proportional to 14,521.84, 21,780.42 and 4,131.16

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Solution

The fourth proportional to 14,521.84, 21,780.42 and 4,131.16 is: 6,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.84 : 21,780.42 = 4,131.16 : x
  2. Step 2: Convert to fraction form
    14,521.84/21,780.42 = 4,131.16/x
  3. Step 3: Cross multiply
    14,521.84x = 21,780.42 × 4,131.16
  4. Step 4: Simplify right side
    14,521.84x = 89,978,399.89
  5. Step 5: Solve for x
    x = 89,978,399.89/14,521.84
  6. Step 6: Final answer
    x = 6,196.07

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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.