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Finding the Fourth Proportional to 30,980.16, 42,765.84 and 18,408.96

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Solution

The fourth proportional to 30,980.16, 42,765.84 and 18,408.96 is: 25,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.16 : 42,765.84 = 18,408.96 : x
  2. Step 2: Convert to fraction form
    30,980.16/42,765.84 = 18,408.96/x
  3. Step 3: Cross multiply
    30,980.16x = 42,765.84 × 18,408.96
  4. Step 4: Simplify right side
    30,980.16x = 787,274,637.93
  5. Step 5: Solve for x
    x = 787,274,637.93/30,980.16
  6. Step 6: Final answer
    x = 25,412.22

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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.