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Finding the Fourth Proportional to 23,562.86, 32,516.30 and 12,952.26

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Solution

The fourth proportional to 23,562.86, 32,516.30 and 12,952.26 is: 17,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.86 : 32,516.30 = 12,952.26 : x
  2. Step 2: Convert to fraction form
    23,562.86/32,516.30 = 12,952.26/x
  3. Step 3: Cross multiply
    23,562.86x = 32,516.30 × 12,952.26
  4. Step 4: Simplify right side
    23,562.86x = 421,159,507.08
  5. Step 5: Solve for x
    x = 421,159,507.08/23,562.86
  6. Step 6: Final answer
    x = 17,873.87

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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.