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Finding the Fourth Proportional to 23,535.75, 32,478.57 and 12,924.69

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Solution

The fourth proportional to 23,535.75, 32,478.57 and 12,924.69 is: 17,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.75 : 32,478.57 = 12,924.69 : x
  2. Step 2: Convert to fraction form
    23,535.75/32,478.57 = 12,924.69/x
  3. Step 3: Cross multiply
    23,535.75x = 32,478.57 × 12,924.69
  4. Step 4: Simplify right side
    23,535.75x = 419,775,448.89
  5. Step 5: Solve for x
    x = 419,775,448.89/23,535.75
  6. Step 6: Final answer
    x = 17,835.65

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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.