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Finding the Fourth Proportional to 22,271.32, 33,408.02 and 12,403.16

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Solution

The fourth proportional to 22,271.32, 33,408.02 and 12,403.16 is: 18,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.32 : 33,408.02 = 12,403.16 : x
  2. Step 2: Convert to fraction form
    22,271.32/33,408.02 = 12,403.16/x
  3. Step 3: Cross multiply
    22,271.32x = 33,408.02 × 12,403.16
  4. Step 4: Simplify right side
    22,271.32x = 414,365,017.34
  5. Step 5: Solve for x
    x = 414,365,017.34/22,271.32
  6. Step 6: Final answer
    x = 18,605.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.