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Finding the Fourth Proportional to 23,053.86, 31,811.68 and 12,982.04

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Solution

The fourth proportional to 23,053.86, 31,811.68 and 12,982.04 is: 17,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.86 : 31,811.68 = 12,982.04 : x
  2. Step 2: Convert to fraction form
    23,053.86/31,811.68 = 12,982.04/x
  3. Step 3: Cross multiply
    23,053.86x = 31,811.68 × 12,982.04
  4. Step 4: Simplify right side
    23,053.86x = 412,980,502.23
  5. Step 5: Solve for x
    x = 412,980,502.23/23,053.86
  6. Step 6: Final answer
    x = 17,913.72

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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.