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Finding the Fourth Proportional to 15,940, 23,913.84 and 4,996

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Solution

The fourth proportional to 15,940, 23,913.84 and 4,996 is: 7,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940 : 23,913.84 = 4,996 : x
  2. Step 2: Convert to fraction form
    15,940/23,913.84 = 4,996/x
  3. Step 3: Cross multiply
    15,940x = 23,913.84 × 4,996
  4. Step 4: Simplify right side
    15,940x = 119,473,544.64
  5. Step 5: Solve for x
    x = 119,473,544.64/15,940
  6. Step 6: Final answer
    x = 7,495.20

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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.