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Finding the Fourth Proportional to 12,354.77, 18,532.45 and 4,457.95

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Solution

The fourth proportional to 12,354.77, 18,532.45 and 4,457.95 is: 6,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.77 : 18,532.45 = 4,457.95 : x
  2. Step 2: Convert to fraction form
    12,354.77/18,532.45 = 4,457.95/x
  3. Step 3: Cross multiply
    12,354.77x = 18,532.45 × 4,457.95
  4. Step 4: Simplify right side
    12,354.77x = 82,616,735.48
  5. Step 5: Solve for x
    x = 82,616,735.48/12,354.77
  6. Step 6: Final answer
    x = 6,687.03

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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.