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Finding the Fourth Proportional to 14,516.46, 20,009.43 and 9,792.54

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Solution

The fourth proportional to 14,516.46, 20,009.43 and 9,792.54 is: 13,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.46 : 20,009.43 = 9,792.54 : x
  2. Step 2: Convert to fraction form
    14,516.46/20,009.43 = 9,792.54/x
  3. Step 3: Cross multiply
    14,516.46x = 20,009.43 × 9,792.54
  4. Step 4: Simplify right side
    14,516.46x = 195,943,143.65
  5. Step 5: Solve for x
    x = 195,943,143.65/14,516.46
  6. Step 6: Final answer
    x = 13,498.00

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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.