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Finding the Fourth Proportional to 14,506.54, 21,739.26 and 6,178.16

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Solution

The fourth proportional to 14,506.54, 21,739.26 and 6,178.16 is: 9,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.54 : 21,739.26 = 6,178.16 : x
  2. Step 2: Convert to fraction form
    14,506.54/21,739.26 = 6,178.16/x
  3. Step 3: Cross multiply
    14,506.54x = 21,739.26 × 6,178.16
  4. Step 4: Simplify right side
    14,506.54x = 134,308,626.56
  5. Step 5: Solve for x
    x = 134,308,626.56/14,506.54
  6. Step 6: Final answer
    x = 9,258.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.