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Finding the Fourth Proportional to 14,325.77, 21,480.78 and 4,964.94

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Solution

The fourth proportional to 14,325.77, 21,480.78 and 4,964.94 is: 7,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.77 : 21,480.78 = 4,964.94 : x
  2. Step 2: Convert to fraction form
    14,325.77/21,480.78 = 4,964.94/x
  3. Step 3: Cross multiply
    14,325.77x = 21,480.78 × 4,964.94
  4. Step 4: Simplify right side
    14,325.77x = 106,650,783.85
  5. Step 5: Solve for x
    x = 106,650,783.85/14,325.77
  6. Step 6: Final answer
    x = 7,444.68

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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.