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Finding the Fourth Proportional to 14,562, 20,097.18 and 8,973

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Solution

The fourth proportional to 14,562, 20,097.18 and 8,973 is: 12,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 20,097.18 = 8,973 : x
  2. Step 2: Convert to fraction form
    14,562/20,097.18 = 8,973/x
  3. Step 3: Cross multiply
    14,562x = 20,097.18 × 8,973
  4. Step 4: Simplify right side
    14,562x = 180,331,996.14
  5. Step 5: Solve for x
    x = 180,331,996.14/14,562
  6. Step 6: Final answer
    x = 12,383.74

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Why These Related Problems?

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