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Finding the Fourth Proportional to 15,933, 23,909.76 and 6,699

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Solution

The fourth proportional to 15,933, 23,909.76 and 6,699 is: 10,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,933 : 23,909.76 = 6,699 : x
  2. Step 2: Convert to fraction form
    15,933/23,909.76 = 6,699/x
  3. Step 3: Cross multiply
    15,933x = 23,909.76 × 6,699
  4. Step 4: Simplify right side
    15,933x = 160,171,482.24
  5. Step 5: Solve for x
    x = 160,171,482.24/15,933
  6. Step 6: Final answer
    x = 10,052.81

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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.