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Finding the Fourth Proportional to 23,273, 32,116.74 and 13,337

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Solution

The fourth proportional to 23,273, 32,116.74 and 13,337 is: 18,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,273 : 32,116.74 = 13,337 : x
  2. Step 2: Convert to fraction form
    23,273/32,116.74 = 13,337/x
  3. Step 3: Cross multiply
    23,273x = 32,116.74 × 13,337
  4. Step 4: Simplify right side
    23,273x = 428,340,961.38
  5. Step 5: Solve for x
    x = 428,340,961.38/23,273
  6. Step 6: Final answer
    x = 18,405.06

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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.