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Finding the Fourth Proportional to 23,336, 35,009.76 and 6,920

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Solution

The fourth proportional to 23,336, 35,009.76 and 6,920 is: 10,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,336 : 35,009.76 = 6,920 : x
  2. Step 2: Convert to fraction form
    23,336/35,009.76 = 6,920/x
  3. Step 3: Cross multiply
    23,336x = 35,009.76 × 6,920
  4. Step 4: Simplify right side
    23,336x = 242,267,539.20
  5. Step 5: Solve for x
    x = 242,267,539.20/23,336
  6. Step 6: Final answer
    x = 10,381.71

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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.