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Finding the Fourth Proportional to 30,954.24, 46,438.02 and 9,606.53

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Solution

The fourth proportional to 30,954.24, 46,438.02 and 9,606.53 is: 14,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.24 : 46,438.02 = 9,606.53 : x
  2. Step 2: Convert to fraction form
    30,954.24/46,438.02 = 9,606.53/x
  3. Step 3: Cross multiply
    30,954.24x = 46,438.02 × 9,606.53
  4. Step 4: Simplify right side
    30,954.24x = 446,108,184.24
  5. Step 5: Solve for x
    x = 446,108,184.24/30,954.24
  6. Step 6: Final answer
    x = 14,411.86

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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.