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Finding the Fourth Proportional to 30,459.96, 42,017.22 and 17,882.28

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Solution

The fourth proportional to 30,459.96, 42,017.22 and 17,882.28 is: 24,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.96 : 42,017.22 = 17,882.28 : x
  2. Step 2: Convert to fraction form
    30,459.96/42,017.22 = 17,882.28/x
  3. Step 3: Cross multiply
    30,459.96x = 42,017.22 × 17,882.28
  4. Step 4: Simplify right side
    30,459.96x = 751,363,692.86
  5. Step 5: Solve for x
    x = 751,363,692.86/30,459.96
  6. Step 6: Final answer
    x = 24,667.26

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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.