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Finding the Fourth Proportional to 30,463.69, 45,692.63 and 9,398.07

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Solution

The fourth proportional to 30,463.69, 45,692.63 and 9,398.07 is: 14,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.69 : 45,692.63 = 9,398.07 : x
  2. Step 2: Convert to fraction form
    30,463.69/45,692.63 = 9,398.07/x
  3. Step 3: Cross multiply
    30,463.69x = 45,692.63 × 9,398.07
  4. Step 4: Simplify right side
    30,463.69x = 429,422,558.72
  5. Step 5: Solve for x
    x = 429,422,558.72/30,463.69
  6. Step 6: Final answer
    x = 14,096.21

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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.