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Finding the Fourth Proportional to 21,407.76, 29,544.48 and 11,977.20

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Solution

The fourth proportional to 21,407.76, 29,544.48 and 11,977.20 is: 16,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.76 : 29,544.48 = 11,977.20 : x
  2. Step 2: Convert to fraction form
    21,407.76/29,544.48 = 11,977.20/x
  3. Step 3: Cross multiply
    21,407.76x = 29,544.48 × 11,977.20
  4. Step 4: Simplify right side
    21,407.76x = 353,860,145.86
  5. Step 5: Solve for x
    x = 353,860,145.86/21,407.76
  6. Step 6: Final answer
    x = 16,529.53

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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.