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Finding the Fourth Proportional to 30,238.44, 45,362.14 and 9,459.24

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Solution

The fourth proportional to 30,238.44, 45,362.14 and 9,459.24 is: 14,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.44 : 45,362.14 = 9,459.24 : x
  2. Step 2: Convert to fraction form
    30,238.44/45,362.14 = 9,459.24/x
  3. Step 3: Cross multiply
    30,238.44x = 45,362.14 × 9,459.24
  4. Step 4: Simplify right side
    30,238.44x = 429,091,369.17
  5. Step 5: Solve for x
    x = 429,091,369.17/30,238.44
  6. Step 6: Final answer
    x = 14,190.26

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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.