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Finding the Fourth Proportional to 16,407.30, 24,615 and 4,721.43

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Solution

The fourth proportional to 16,407.30, 24,615 and 4,721.43 is: 7,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.30 : 24,615 = 4,721.43 : x
  2. Step 2: Convert to fraction form
    16,407.30/24,615 = 4,721.43/x
  3. Step 3: Cross multiply
    16,407.30x = 24,615 × 4,721.43
  4. Step 4: Simplify right side
    16,407.30x = 116,217,999.45
  5. Step 5: Solve for x
    x = 116,217,999.45/16,407.30
  6. Step 6: Final answer
    x = 7,083.31

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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.