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Finding the Fourth Proportional to 23,528, 32,467.56 and 12,917.80

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Solution

The fourth proportional to 23,528, 32,467.56 and 12,917.80 is: 17,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 32,467.56 = 12,917.80 : x
  2. Step 2: Convert to fraction form
    23,528/32,467.56 = 12,917.80/x
  3. Step 3: Cross multiply
    23,528x = 32,467.56 × 12,917.80
  4. Step 4: Simplify right side
    23,528x = 419,409,446.57
  5. Step 5: Solve for x
    x = 419,409,446.57/23,528
  6. Step 6: Final answer
    x = 17,825.97

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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.