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Finding the Fourth Proportional to 23,528.96, 32,470.02 and 12,919.27

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Solution

The fourth proportional to 23,528.96, 32,470.02 and 12,919.27 is: 17,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528.96 : 32,470.02 = 12,919.27 : x
  2. Step 2: Convert to fraction form
    23,528.96/32,470.02 = 12,919.27/x
  3. Step 3: Cross multiply
    23,528.96x = 32,470.02 × 12,919.27
  4. Step 4: Simplify right side
    23,528.96x = 419,488,971.86
  5. Step 5: Solve for x
    x = 419,488,971.86/23,528.96
  6. Step 6: Final answer
    x = 17,828.63

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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.