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Finding the Fourth Proportional to 14,560.14, 20,072.64 and 12,312.99

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Solution

The fourth proportional to 14,560.14, 20,072.64 and 12,312.99 is: 16,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.14 : 20,072.64 = 12,312.99 : x
  2. Step 2: Convert to fraction form
    14,560.14/20,072.64 = 12,312.99/x
  3. Step 3: Cross multiply
    14,560.14x = 20,072.64 × 12,312.99
  4. Step 4: Simplify right side
    14,560.14x = 247,154,215.59
  5. Step 5: Solve for x
    x = 247,154,215.59/14,560.14
  6. Step 6: Final answer
    x = 16,974.71

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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.