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Finding the Fourth Proportional to 21,408, 29,543.06 and 11,978.79

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Solution

The fourth proportional to 21,408, 29,543.06 and 11,978.79 is: 16,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408 : 29,543.06 = 11,978.79 : x
  2. Step 2: Convert to fraction form
    21,408/29,543.06 = 11,978.79/x
  3. Step 3: Cross multiply
    21,408x = 29,543.06 × 11,978.79
  4. Step 4: Simplify right side
    21,408x = 353,890,051.80
  5. Step 5: Solve for x
    x = 353,890,051.80/21,408
  6. Step 6: Final answer
    x = 16,530.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.