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Finding the Fourth Proportional to 14,812.65, 20,431.44 and 9,513.90

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Solution

The fourth proportional to 14,812.65, 20,431.44 and 9,513.90 is: 13,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.65 : 20,431.44 = 9,513.90 : x
  2. Step 2: Convert to fraction form
    14,812.65/20,431.44 = 9,513.90/x
  3. Step 3: Cross multiply
    14,812.65x = 20,431.44 × 9,513.90
  4. Step 4: Simplify right side
    14,812.65x = 194,382,677.02
  5. Step 5: Solve for x
    x = 194,382,677.02/14,812.65
  6. Step 6: Final answer
    x = 13,122.75

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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.