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Finding the Fourth Proportional to 30,420.72, 45,632.64 and 9,645.84

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Solution

The fourth proportional to 30,420.72, 45,632.64 and 9,645.84 is: 14,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.72 : 45,632.64 = 9,645.84 : x
  2. Step 2: Convert to fraction form
    30,420.72/45,632.64 = 9,645.84/x
  3. Step 3: Cross multiply
    30,420.72x = 45,632.64 × 9,645.84
  4. Step 4: Simplify right side
    30,420.72x = 440,165,144.22
  5. Step 5: Solve for x
    x = 440,165,144.22/30,420.72
  6. Step 6: Final answer
    x = 14,469.25

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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.