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Finding the Fourth Proportional to 17,825.42, 24,573.71 and 12,152.89

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Solution

The fourth proportional to 17,825.42, 24,573.71 and 12,152.89 is: 16,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.42 : 24,573.71 = 12,152.89 : x
  2. Step 2: Convert to fraction form
    17,825.42/24,573.71 = 12,152.89/x
  3. Step 3: Cross multiply
    17,825.42x = 24,573.71 × 12,152.89
  4. Step 4: Simplify right side
    17,825.42x = 298,641,594.52
  5. Step 5: Solve for x
    x = 298,641,594.52/17,825.42
  6. Step 6: Final answer
    x = 16,753.69

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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.