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Finding the Fourth Proportional to 21,357.76, 29,475.36 and 12,408.16

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Solution

The fourth proportional to 21,357.76, 29,475.36 and 12,408.16 is: 17,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.76 : 29,475.36 = 12,408.16 : x
  2. Step 2: Convert to fraction form
    21,357.76/29,475.36 = 12,408.16/x
  3. Step 3: Cross multiply
    21,357.76x = 29,475.36 × 12,408.16
  4. Step 4: Simplify right side
    21,357.76x = 365,734,982.94
  5. Step 5: Solve for x
    x = 365,734,982.94/21,357.76
  6. Step 6: Final answer
    x = 17,124.22

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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.