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Finding the Fourth Proportional to 23,835.04, 32,893.90 and 13,225.84

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Solution

The fourth proportional to 23,835.04, 32,893.90 and 13,225.84 is: 18,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.04 : 32,893.90 = 13,225.84 : x
  2. Step 2: Convert to fraction form
    23,835.04/32,893.90 = 13,225.84/x
  3. Step 3: Cross multiply
    23,835.04x = 32,893.90 × 13,225.84
  4. Step 4: Simplify right side
    23,835.04x = 435,049,458.38
  5. Step 5: Solve for x
    x = 435,049,458.38/23,835.04
  6. Step 6: Final answer
    x = 18,252.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.