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Finding the Fourth Proportional to 14,521.25, 21,783.09 and 4,133

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Solution

The fourth proportional to 14,521.25, 21,783.09 and 4,133 is: 6,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.25 : 21,783.09 = 4,133 : x
  2. Step 2: Convert to fraction form
    14,521.25/21,783.09 = 4,133/x
  3. Step 3: Cross multiply
    14,521.25x = 21,783.09 × 4,133
  4. Step 4: Simplify right side
    14,521.25x = 90,029,510.97
  5. Step 5: Solve for x
    x = 90,029,510.97/14,521.25
  6. Step 6: Final answer
    x = 6,199.85

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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.