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Finding the Fourth Proportional to 12,352.77, 17,056.64 and 11,408.21

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Solution

The fourth proportional to 12,352.77, 17,056.64 and 11,408.21 is: 15,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.77 : 17,056.64 = 11,408.21 : x
  2. Step 2: Convert to fraction form
    12,352.77/17,056.64 = 11,408.21/x
  3. Step 3: Cross multiply
    12,352.77x = 17,056.64 × 11,408.21
  4. Step 4: Simplify right side
    12,352.77x = 194,585,731.01
  5. Step 5: Solve for x
    x = 194,585,731.01/12,352.77
  6. Step 6: Final answer
    x = 15,752.40

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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.