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Finding the Fourth Proportional to 15,506.94, 21,399.60 and 8,433.34

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Solution

The fourth proportional to 15,506.94, 21,399.60 and 8,433.34 is: 11,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.94 : 21,399.60 = 8,433.34 : x
  2. Step 2: Convert to fraction form
    15,506.94/21,399.60 = 8,433.34/x
  3. Step 3: Cross multiply
    15,506.94x = 21,399.60 × 8,433.34
  4. Step 4: Simplify right side
    15,506.94x = 180,470,102.66
  5. Step 5: Solve for x
    x = 180,470,102.66/15,506.94
  6. Step 6: Final answer
    x = 11,638.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.