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Finding the Fourth Proportional to 14,596.94, 21,893.29 and 5,235.57

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Solution

The fourth proportional to 14,596.94, 21,893.29 and 5,235.57 is: 7,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.94 : 21,893.29 = 5,235.57 : x
  2. Step 2: Convert to fraction form
    14,596.94/21,893.29 = 5,235.57/x
  3. Step 3: Cross multiply
    14,596.94x = 21,893.29 × 5,235.57
  4. Step 4: Simplify right side
    14,596.94x = 114,623,839.24
  5. Step 5: Solve for x
    x = 114,623,839.24/14,596.94
  6. Step 6: Final answer
    x = 7,852.59

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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.