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Finding the Fourth Proportional to 14,857.17, 20,511.78 and 9,199.51

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Solution

The fourth proportional to 14,857.17, 20,511.78 and 9,199.51 is: 12,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.17 : 20,511.78 = 9,199.51 : x
  2. Step 2: Convert to fraction form
    14,857.17/20,511.78 = 9,199.51/x
  3. Step 3: Cross multiply
    14,857.17x = 20,511.78 × 9,199.51
  4. Step 4: Simplify right side
    14,857.17x = 188,698,325.23
  5. Step 5: Solve for x
    x = 188,698,325.23/14,857.17
  6. Step 6: Final answer
    x = 12,700.83

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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.