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Finding the Fourth Proportional to 23,562.81, 32,516.12 and 12,807.42

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Solution

The fourth proportional to 23,562.81, 32,516.12 and 12,807.42 is: 17,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.81 : 32,516.12 = 12,807.42 : x
  2. Step 2: Convert to fraction form
    23,562.81/32,516.12 = 12,807.42/x
  3. Step 3: Cross multiply
    23,562.81x = 32,516.12 × 12,807.42
  4. Step 4: Simplify right side
    23,562.81x = 416,447,541.57
  5. Step 5: Solve for x
    x = 416,447,541.57/23,562.81
  6. Step 6: Final answer
    x = 17,673.93

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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.