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Finding the Fourth Proportional to 16,578.68, 22,861.04 and 12,802.46

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Solution

The fourth proportional to 16,578.68, 22,861.04 and 12,802.46 is: 17,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.68 : 22,861.04 = 12,802.46 : x
  2. Step 2: Convert to fraction form
    16,578.68/22,861.04 = 12,802.46/x
  3. Step 3: Cross multiply
    16,578.68x = 22,861.04 × 12,802.46
  4. Step 4: Simplify right side
    16,578.68x = 292,677,371.84
  5. Step 5: Solve for x
    x = 292,677,371.84/16,578.68
  6. Step 6: Final answer
    x = 17,653.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.