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Finding the Fourth Proportional to 23,492.63, 35,245.33 and 6,854.42

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Solution

The fourth proportional to 23,492.63, 35,245.33 and 6,854.42 is: 10,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.63 : 35,245.33 = 6,854.42 : x
  2. Step 2: Convert to fraction form
    23,492.63/35,245.33 = 6,854.42/x
  3. Step 3: Cross multiply
    23,492.63x = 35,245.33 × 6,854.42
  4. Step 4: Simplify right side
    23,492.63x = 241,586,365.84
  5. Step 5: Solve for x
    x = 241,586,365.84/23,492.63
  6. Step 6: Final answer
    x = 10,283.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.