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Finding the Fourth Proportional to 14,596.13, 21,892.13 and 4,735.49

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Solution

The fourth proportional to 14,596.13, 21,892.13 and 4,735.49 is: 7,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.13 : 21,892.13 = 4,735.49 : x
  2. Step 2: Convert to fraction form
    14,596.13/21,892.13 = 4,735.49/x
  3. Step 3: Cross multiply
    14,596.13x = 21,892.13 × 4,735.49
  4. Step 4: Simplify right side
    14,596.13x = 103,669,962.69
  5. Step 5: Solve for x
    x = 103,669,962.69/14,596.13
  6. Step 6: Final answer
    x = 7,102.57

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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.