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Finding the Fourth Proportional to 30,438.72, 45,659.64 and 9,663.84

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Solution

The fourth proportional to 30,438.72, 45,659.64 and 9,663.84 is: 14,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.72 : 45,659.64 = 9,663.84 : x
  2. Step 2: Convert to fraction form
    30,438.72/45,659.64 = 9,663.84/x
  3. Step 3: Cross multiply
    30,438.72x = 45,659.64 × 9,663.84
  4. Step 4: Simplify right side
    30,438.72x = 441,247,455.42
  5. Step 5: Solve for x
    x = 441,247,455.42/30,438.72
  6. Step 6: Final answer
    x = 14,496.26

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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.